Primitive of x fourth by Cosine of a x

Theorem

 * $\displaystyle \int x^4 \cos a x \rd x = \frac {\sin a x} a x^4 + \frac {4 \cos a x} {a^2} x^3 - \frac {12 \sin a x} {a^3} x^2 - \frac {24 \cos a x} {a^4} x + \frac {24 \sin a x} {a^5} + C$

where $C$ is an arbitrary constant.

Also see

 * Primitive of $x^2 \cos a x$
 * Primitive of $x^2 \sin a x$