Help understanding line integral solution?

Chandasouk
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http://img2.imageshack.us/img2/5061/14983795.jpg

I have no idea how they simplified the integral to the second step.
 
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That looks like a line integral along a parameterized curve c(t) = <x(t),y(t),z(t)>.

You didn't copy the part that gives the formula for c(t). And remember that

ds = ||c'(t)|| dt
 

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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