DSP, going from freq domain to time domain

[cutesteph]

Homework Statement

X(w) = 3cos(2w) + 2 sin(3w)

calculate x(n)

Homework Equations

x(n) = (1/2pi) ∫ X(w) e^(jwn)dw

The Attempt at a Solution

When integrating over 0 to 2 pi, my answer is 0. Which would not be the case.

 

[jbunniii]

Can you please show your calculation? In particular, be careful with the cases $n=2$ and $n=3$.

 

[cpscdave]

It for sure shouldn't be 0 :D

You must've made a mistake with the integration. Do you know what the answer SHOULD be?