Trouble Solving an Integral: 2tan(u) Substitution

AI Thread Summary
The discussion centers on solving the integral of 1/((x^2+4)^2) using the substitution x=2tan(u). The user finds the substitution complicates the problem rather than simplifying it. There is a suggestion to consider partial fractions, but the denominator is not factorable, making that approach unviable. The consensus leans towards using the trigonometric substitution as the most effective method for this integral. The conversation highlights the challenges of choosing the right technique for solving integrals.
badtwistoffate
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calc/integral question

having trouble with this question
int[1/((x^2+4)^2)
and i make a trig substitution x=2tan(u)
and it seems to get harder with that but its suppose to be it..
 
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Have you tried partial fractions?
 
i got this from a partital fraction... and the denominator can't be factored so i can't do that again. so a trig substitituition would be best?especially x=2tan (u)
 
help anyone?
 
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