Primitive of x sixth by Cosine of a x

Theorem

 * $\displaystyle \int x^6 \cos a x \rd x = \frac {\sin a x} a x^6 + \frac {6 \cos a x} {a^2} x^5 - \frac {30 \sin a x} {a^3} x^4 - \frac {120 \cos a x} {a^4} x^3 + \frac {360 \sin a x} {a^5} x^2 + \frac {720 \cos a x} {a^6} x - \frac {720 \sin a x} {a^7} + C$

where $C$ is an arbitrary constant.

Also see

 * Primitive of $x^4 \cos a x$
 * Primitive of $x^2 \cos a x$
 * Primitive of $x^2 \sin a x$