Help with Diff EQ Integrals Using Trig Substitution

Weatherkid11
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I am working on a Differential Equation problem and I am stuck on these two integrals: http://forums.cramster.com/Answer-Board/Image/cramster-equation-20064101738436328028752372062504976.gif and http://forums.cramster.com/Answer-Board/Image/cramster-equation-20064101739556328028759586125007822.gif I think i have to use trig substitution but not sure. Please help, this is only a step to the problem, i got the rest of it.
 
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you can simplify both of them to make it easier
 
csc(x)= 1/sin(x) should help.
 
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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