Integrate (dx)/(-4 + x^2): Guidelines

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Homework Statement


Integrate (dx)/(-4 + x^2)


Homework Equations



Trig substitution?

The Attempt at a Solution



How would you integrate something like this? I don't need answers, I just need some guidelines to start off.
 
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note: (x^2-4) = (x-2)(x+2)
then partial factions
 
mjsd said:
note: (x^2-4) = (x-2)(x+2)
then partial factions

(Hits head)

Engineering makes you forget the basic methods of integration.

Thanks.
 
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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