TRAPECIO - SIMPSONEVALUAR LA INTEGRAL DEFINIDA: VA DE 0 A PI LA FUNCIN ES (8+5SENx)dxEn forma analtica35.132805Por la regla de trapecioPor la regla de SimpsonTRAPECIO h=(b-a)/n(PI-0)/100.314TRAPECIOSIMPSON 1/3SIMPSON 3/8iXif(x)=8+5SenxCOEFICIENTES PRODUCTO TRAPE.COEFICIENTE. SIMPS.PROD. SIMP.COEF. SIMP.PROD. SIMPS.0080.54181810.3149.544327600519.5443276005438.177310402328.632982801520.62810.9376376286110.9376376286221.8752752571332.812912885730.94212.0436803028112.0436803028448.1747212111336.1310409083SIMPSON 3/8 PARA PARTIC. IMPAR41.25612.7542973025112.7542973025225.5085946051338.262891907651.5712.9999984147112.9999984147451.9999936586338.99999524461.88412.7567568812112.7567568812225.5135137623338.270270643572.19812.0483589414112.0483589414448.1934357655336.145076824282.51210.9440778098110.9440778098221.8881556197332.832233429592.8269.551899548419.5518995484438.2075981934328.6556986451103.148.00796326460.54.003981632318.007963264618.0079632646SUMATORIA111.5850160621SUMATORIA335.5465617395SUMATORIA326.7510665539SUMATORIA111.5850160621SUMATORIA335.5465617395SUMATORIA 326.7510665539h0.314h/30.10466666673*h/80.11775AREA35.0376950435AREA35.1205401287AREA38.4749380867ERROR RELAT.(TRAP.)SIMBOLOS ( WORD)0.2714503805ERROR RELAT.( SIMPS)SIMBOLOS ( WORD)0.0349100257Xif(x)=8+5Senx080.314169.54508846530.6283210.93893220480.9424812.0450914491.2566412.75528712181.5708131.8849612.75527577092.1991212.04506985842.5132810.93890248792.827449.5450535313.14167.9999632679

3.3333333333CONSTANTESSIMPSON 1/3

COEFICIENTESPROD. SIMPSON01220717360001717360001130106370000042548000002135205292000021058400003160304704000041881600004175403430000026860000051905018620000474480000620060010SUMATORIA763616000h/33.3333333333AREA2545386666.66667

Hoja2EVALUAR LA INTEGRAL QUE VA DE 0 A 3 (CUADERNO)HALLAMOS LA PARTICI.simbo(word)0.3TRAPECIOiXiCOEFICIENTES PRODUCTO TRAPE.COEFICIENTE. SIMPS.PROD. SIMP.0000.501010.30.365972985110.365972985141.463891940520.60.756504166410.756504166421.513008332830.91.064460388911.064460388944.257841555741.21.268228992611.268228992622.536457985251.51.375526885911.375526885945.502107543661.81.389489351611.389489351622.778978703272.11.302978624411.302978624445.211914497782.41.101442274811.101442274822.202884549792.70.767104699910.767104699943.06841879981030.28344711320.50.141723556610.2834471132SUMATORIA9.5334319264SUMATORIA28.8189510214SUMATORIA9.5334319264SUMATORIA28.8189510214h0.3h/30.1AREA2.8600295779AREA2.8818951021

Hoja3iXiyiCOEFICIENTES PRODUCTO TRAPE.COEFICIENTE. SIMPS.PROD. SIMP.DE LA ECUAC. (GRAFICO, LINEA DE TENDEN.)COEF.PRODUCT.00.40.50.210.40.57520.50.287611.1211.1244.480.91510.91521.2511.2522.51.156811.156831.311.345.21.300611.300641.211.222.41.346411.346451.3511.3545.41.294211.294261.0511.0522.11.14411.14470.910.943.60.895810.895880.60.50.310.60.54960.50.2748

SUMATORIA8.6152SUMATORIA8.67SUMATORIA26.68Xiyi00.411.1221.2531.341.251.3561.0570.980.6

Hoja4CHAPRA CANALE: SE TIENE LA SIGUIENTE TABLA :xif(x)COEFICIENTES PRODUCTO TRAPE.00.20.50.10.121.30911.3090.221.30511.3050.321.74311.7430.362.07412.0740.42.45612.4560.442.84212.8420.543.50713.5070.643.18113.1810.72.36312.3630.80.2320.50.116xif(x)COEFICIENTES PRODUCTO TRAPE.00.20.50.10.121.30911.3090.221.30511.3050.321.74311.7430.362.07412.0740.42.45612.4560.442.84212.8420.543.50713.5070.643.18113.1810.72.36312.3630.80.2320.50.116PRIMER TRAMO (SEPARAMOS LOS QUE TIENEN EL MISMO h, osea el mismo espaciamiento)APLICAMOS TRAPECIO00.20.50.10.121.30911.309

SEGUNDO TRAMO (APLICAMOS EL MISMO CRITERIOSIMPSON 3/80.121.30911.3090.221.30511.3050.321.74311.743TERCER TRAMOSIMPSON 1/30.321.74311.7430.362.07412.0740.42.45612.4560.442.84212.842CUARTO TRAMOSIMPSON 3/80.442.84212.8420.543.50713.5070.643.18113.181QUINTO TRAMOTRAPECIO0.643.18113.181podemos aplicar cualquier mtodo a cada tramo o uno solo0.72.36312.363

SEXTO TRAMOTRAPECIO0.72.36312.3630.80.2320.50.116JUNTAMOS TODOcoef.PRODUC00.20.50.1SUMATORIA0.7545h0.12AREA0.090540.121.3090.50.65450.121.30911.309SUMATORIA8.2723H/80.03750.31020.221.30545.220.321.74311.7430.321.74311.743SUMATORIA18.175H/30.0133333333AREA0.24233333330.362.07436.2220.42.45637.3680.442.84212.8420.442.84212.842SUMATORIA20.0513h/80.0375AREA0.75191250.543.507414.0280.643.18113.1810.643.1810.51.5905SUMATORIA2.772h0.03AREA0.083160.72.3630.51.18150.72.3630.51.1815SUMATORIA1.2975h0.05AREA0.0648750.80.2320.50.116SUMATORIA TOTAL:1.5430208333ARREGLAR LOS h