Multiple Integrals over s square region

mit_hacker
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Homework Statement



(Q) Compute ∬_R▒(y-2x^2 )dA where R is a region bounded by the square |x| + |y| = 1.

Homework Equations





The Attempt at a Solution



The absolute functions are throwing me all over the place and I am not even able to begin:cry:
 
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How many sub-equations does |x| + |y| = 1 imply? I'll give you one: x + y = 1 if x > 0 and y > 0.
 

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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