| Tipo de integral | Teorema |
|---|---|
| Integral indefinida | 1.∫ dx = x + c 2.∫ k dx = kx + c 3.∫ k f(x)dx = k ∫ f(x)dx 4.∫[f(x)±g(x)]dx= ∫ f(x)dx± ∫ g(x)dx 5.∫ x^n dx= 1/n+1 x^n+1 + c 6.∫ x^-1 dx= ∫ dx/x = In|x| + c |
| Integrales indefinidas logaritmicas y exponenciales |
1.∫log a u du = u [log a u-1] + c 2.∫In u du = u[In u - 1] + c 3.∫a^du = a^u/In a + c 4.∫e^u = e^u + c |
| Integrales indefinidas trigonometricas |
1.∫ sen u du = -cos(u) + c 2.∫cos u du= sen(u) + c 3.∫tan u du = -In |cos(u)| + c 4.∫cot u du = In|sen(u)| + c 5.∫sec u du = In|sec(u) + tan(u)|+ c 6.∫csc u du = I|csc(u)-cot(u)|+c |