Find the iterated integral: (2x+y)^{-2}dydx from 3 to 4 and 2 to 3.

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Homework Statement



Find the iterated integral:

\int\int(2x+y)^{-2}dydx

The first integral is from 3 to 4 and the second is from 2 to 3.

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The Attempt at a Solution



My first thought would be to do u-substitution, but wouldn't that cause problems when trying to differentiate (2x+y) with respect to y?
 
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Yes, u substitution is the way to do it. And, no, that doesn't cause any problems.
 
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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