Primitive of Sine of p x by Cosine of q x

Theorem

 * $\ds \int \sin p x \cos q x \rd x = \frac {-\map \cos {p - q} x} {2 \paren {p - q} } - \frac {\map \cos {p + q} x} {2 \paren {p + q} } + C$

for $p, q \in \R: p \ne q$

Also see

 * Primitive of $\sin a x \cos a x$ for $p = q$


 * Primitive of $\sin p x \sin q x$
 * Primitive of $\cos a x \cos p x$