Matematica 2 Ing. IndustrialClase: 4192
Tema: Formas de integracion
1. du = u+ C
2. undu =un+1
n+ 1+ C, n 6= 1
3.1udu = ln |u|+ C
4. eudu = eu + C
5 audu =au
ln a+ C
6. senu du = cosu+ C7. cosu du = senu+ C
8. tanu du = ln |cosu|+ C9 cotu = ln |senu|+ C10. secu du = ln |secu+ tanu|+ C11. cscu du = ln |cscu cotu|+ C12. sec2 u = tanu+ C
13. csc2 u = cotu+ C14. secu tanu = secu+ C15. cscu cotu = cscu+ C
161
u2 + a2du =
1aarctan
(ua
)+ C
17.1
a2 u2 du = arcsen(ua
)+ C
Ejemplos. Calcular
1.(x4 + 4x3 1
x5
)dx
2. x 3(x2 + 3)2dx
3.(3 x3)4 x2dx
4. x2 tan(3 x3) dx
1