Help with Indefinite integrals.

master1425
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Homework Statement


\int sinx/(1+cos^{2}x)dx


Can anyone help me with this problem?
 
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Did you try substituting u=cos(x) as a first step??
 
Ah ok, that was my biggest problem. I tried substituting u=1+cos^2x and u=sinx. But neither yielded the result I wanted.

So I will try using just u=cosx and see how that works for me.
 
Ok, I got that one finally.

How about this one?

\int x^{2}sinx/1+x^{6} dx

I tried u=sinx, but got stuck. Is that what I need to use? Any help would be appreciated.
 

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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