Evaluating integral with $e^{\sin x}$ I had this integral $ \int e^{\sin(x)} {\sin(2x)} dx$ 
I tried to split it up using integration by parts but I can't evaluate integral of $e^{\sin x}$

Note that $\sin(2x) = 2\sin(x)\cos(x)$. Then make the $u$-sub, $u = \sin(x)$. The integral becomes
$$ 2\int u e^u du.$$
Now integrate by parts.
