Hi,

I'm asked to integrate e^2xcosxdx. I have used intefration by parts letting u=e^2x and dv=cosxdx. This results in

e^2xsinx-the integral of 2sinxe^2x. I then integrated by parts again and the overall result was if I = integral of e^2xcosxdx then

I= e^2xsinxdx-e^2xsinxdx + 0.5( I)

0.5I = 0

Therefore I=0

Is this wrong?