Double integral in polar coordinates

whynot314
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Homework Statement


I know I have the set up done correctly I am wondering where I went wrong because I know I cannot get zero, and I am a little worried I did my integration wrong. please help.
[PLAIN]http://i1341.photobucket.com/albums/o745/nebula-314/IMAG0107_zps3cde35a8.jpg[/PLAIN]
 
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If the answer is not supposed to be 0, your setup is wrong.
 

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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