Double integrals with absolute function

kamikaza007
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Homework Statement



[PLAIN]http://img704.imageshack.us/img704/453/50838240.jpg

i have trouble with absolute function, can somebody help me how to start
 
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Ask youself, what is the sign of y-x^{2} in the region you're integrating over? I'll give you a hint, it's of constant sign, what does this mean?
 
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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