Question

el integral de ∫ 5x sen x dx

Answer 1

Respuesta:

$\int 5x sen(x) dx = 5\int x sen (x) dx$

$u = x \to du = dx \\ dv = sen(x)dx \to v = - \cos(x)$

$5\int x sen (x) dx = 5 \left( - x \cos(x) + \int \cos(x) dx\right) \\ = - 5x \cos(x) + 5sen(x) + k$