Lec. Evaluativa Unidad Dos

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  • 8/3/2019 Lec. Evaluativa Unidad Dos

    1/7

    La primera forma de desarrollar integrales, es por medio de las integralesinmediatas, donde se resuelven utilizando el principio de la antiderivada. Como

    , para k = constante ,

    La tcnica de sustitucin por cambio de variable, se utiliza cuando la funcin queconforma el integrando es tal que una parte es la derivada de la otra parte y las dosestn en forma de producto. Las condiciones bsicas para establecer que se puedeaplicar una sustitucin es una buena observacin de la funcin a integrar y algo de

    perspicacia matemtica. Cuando el integrado presenta radicales, se puede presentarproblemas para resolver la integral, la racionalizacin puede ser un camino parasuperar dicho problema. En el mundo matemtico, cientfico y otros, se presentancasos donde la integral es un Producto de Funciones, casos donde se aplica latcnica llamada integracin por partes. En muchas ocasiones se ha manifestado quetoda regla de derivacin da origen a una regla de integracin. La integracin porpartes esta relacionada con la regla de la cadena. La sustitucin trigonomtrica, esuna tcnica que se puede utilizar cuando en el integrando se presentan expresionescomo:

    ; ; siendo a>0.

    Por un teorema de lgebra avanzada se afirma que toda fraccin racional; es decir, elcociente de dos polinomios, se puede descomponer en suma de fraccionesracionales ms simples. Para desarrollar el mtodo de fracciones parciales, se debetener en cuenta:

    Para la fraccin con sea una fraccin racional propia; esdecir, f(x) debe tener menor grado que g(x) y por otro lado, que g(x) se puedadescomponer en factores primos. Tericamente cualquier polinomio con coeficientesreales se puede escribir como producto de factores lineales reales y / o factores

    cuadrticos, es posible que obtenerlos no sea tarea fcil. Descomposicin EnFactores Lineales Simples, Descomposicin En Factores Lineales Repetidos,Descomposicin En Factores Cuadrticos.

    http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+g(x)/neq~+0/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+p(x)+=+/frac{f(x)}{g(x)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{x^2-a^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2+x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/sqrt{a^2-x^2}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{d}{dx}/int_{a}^{x}+f(t)+dt+=+f(x)/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{dx}{x}=+Ln(x)+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+x^ndx=+/frac{x^{n+1}}{n+1}+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+kdx=+kx+++c/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+dx=+x+++c/
  • 8/3/2019 Lec. Evaluativa Unidad Dos

    2/7

    Al resolver , su resultado es:

    7913 continue 20421 NcTtpk1hvE

    Diverge

    Al resolver , su resultado es:

    Su respuesta:

    Diverge

    Correcto!Felicitaciones

    La solucin de la integral , es:

    7913 continue 20422 NcTtpk1hvE

    16

    20

    8

    24

    La solucin de la integral , es:

    Su respuesta:

    16

    http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+0+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+1+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+2+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+0+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+1+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+2+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+0+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+1+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+2+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+0+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+1+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+2+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+0+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+1+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+2+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+0+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+1+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+2+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{2}^{6}/+4+dy+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+0+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+1+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+2+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/frac{x}{2}}/+tg(2x)dx/
  • 8/3/2019 Lec. Evaluativa Unidad Dos

    3/7

    Correcto!

    Al resolver , se obtiene aproximadamente:

    7913 continue 20423 NcTtpk1hvE

    27

    17

    37

    47

    Al resolver , se obtiene aproximadamente:

    Su respuesta:

    17

    Correcto

    Al resolver , se obtiene:

    7913 continue 20424 NcTtpk1hvE

    Al resolver , se obtiene:

    Su respuesta:

    http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x+1)^2+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x^2+1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+Ln+(x-1)+++C+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int+/frac{(x^2-1)}{(x^2+x)(x-1)}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{1}/+e^{3x+1}/+dx/
  • 8/3/2019 Lec. Evaluativa Unidad Dos

    4/7

    Correcto

    Al desarrollar la integral definida , se obtiene:7913 continue 20425 NcTtpk1hvE

    3

    2

    Al desarrollar la integral definida , se obtiene:

    Su respuesta:

    2

    Correcto

    Al integrar , obtenemos:7913 continue 20426 NcTtpk1hvE

    Al integrar , obtenemos:

    Su respuesta:

    http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{2}{2Ln(3)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{3}{Ln(7)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{7}{3Ln(6)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/frac{5}{3Ln(2)}/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?+/int+(x)(3)^{x^2}dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/+indefinido+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/infty+/http://intersemestrales.unadvirtual.org/inter/filter/tex/displaytex.php?/int_{0}^{/pi}/+sen(x)+dx+/
  • 8/3/2019 Lec. Evaluativa Unidad Dos

    5/7

    Correcto.

    Al resolver la siguiente integral , se obtiene:

    7913 continue 20428 NcTtpk1hvE

    Al resolver la siguiente integral , se obtiene:

    Su respuesta:

    Correcto.

    La solucin de la integral inmediata ,es:

    7913 continue 20429 NcTtpk1hvE

    La solucin de la integral inmediata ,es:

    Su respuesta:

    Correcto!

    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  • 8/3/2019 Lec. Evaluativa Unidad Dos

    6/7

    La solucion de la integral ,es:

    7913 continue 20430 NcTtpk1hvE

    La solucion de la integral ,es:

    Su respuesta:

    Correcto!

    Al desarrolar la integral , se obtiene:

    7913 continue 20431 NcTtpk1hvE

    Al desarrolar la integral , se obtiene:

    Su respuesta:

    Correcto!Felicitaciones

    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  • 8/3/2019 Lec. Evaluativa Unidad Dos

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