I am having some trouble with:
integral of $\displaystyle xcos(x^3)$
any ideas?
$\displaystyle \cos{x} = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + ...$
$\displaystyle \cos(x^3) = 1 - \frac{x^6}{2!} + \frac{x^{12}}{4!} - \frac{x^{18}}{6!} + ...$
$\displaystyle x\cos(x^3) = x - \frac{x^7}{2!} + \frac{x^{13}}{4!} - \frac{x^{19}}{6!} + ...$
integrate it, term for term ...