DSP, going from freq domain to time domain

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

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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