Primitive of Exponential of a x by Cosine of b x

Theorem

 * $\displaystyle \int e^{a x} \cos b x \ \mathrm d x = \frac {e^{a x} \left({a \cos b x + b \sin b x}\right)} {a^2 + b^2} + C$

Also see

 * Primitive of $e^{a x} \sin b x$