Evaluating the definite integral

[Midnight]

How do I evaluate this integral?
int (e^sin(x)) * sin(2x) within the range of [0, pi/2]. I can figure out the part dealing with the range, but I can't figure out where to begin? would u= sinx, then du= cosx? how would I go about getting the antiderivative?

 

[Deleted member 4993]

How do I evaluate this integral?
int (e^sin(x)) * sin(2x) within the range of [0, pi/2]. I can figure out the part dealing with the range, but I can't figure out where to begin? would u= sinx, then du= cosx? how would I go about getting the antiderivative?

Excellent first step!

Utilize the fact that

sin(2x) = 2 * sin(x) * cos(x)

Now what do you get with that substitution?

Can you please show that? Unless you are making some "silly" mistake - anti derivative should be easy.