## anonymous 4 years ago Evaluate the integral as a series. $\int xcos(x^3)dx$ $cosx=\sum_{n=0}^{\infty}(-1)^n\frac{x^{2n}}{(2n)!}$ sooooo..... $=\int\sum_{n=0}^{\infty}(-1)^n\frac{x^{6n+1}}{(2n)!}$ Yes?

1. Rogue

yup, now just integrate.

2. anonymous

$\sum_{n=0}^{\infty}\frac{(-1)^n}{(2n)!}\frac{x^{6n+2}}{6n+2}$

3. anonymous

Awww thank you!