e^x cos x dx?

Question

Integration by parts - Step by step

Answer 1

Keep integrating till you get -int(e^x cos(x) dx) (note: the negative sign). So you have an equation of the form.

int(e^x cos(x) dx)=g(x)-int(e^x cos(x) dx)

Add int(e^x cos(x) dx) to both sides to get.

2*int(e^x cos(x) dx)=g(x)

Now divide by 2 and don't forget to add the +C.

Answer 2

same problem on this page

Answer 3

:P
I've been out of school too long.
Maybe this will help.