Integration problem

[Zorber]

How do I integrate the following sin(2x)e^cos(2x). I have tried by parts but not getting anywhere.

[MathsMan]

Integrate by site.

Anything of the form e^f(x) when differentiated will differentiate to
f'(x)e^f(x)

so if f(x) = cos(2x)
f '(x) = - 2sin(2x)

so integral of sin(2x)e^cos(2x) is

-1/2 e^cos(2x)

You multiply by -1/2 to cancel with the -2