My answer: $1/128 (\tan^{-1}(x/4) + 4x/(16+x^2)^4)$
How to integrate $1/(16+x^2)^2$ using trig substitution
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integration
trigonometry
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2Have you checked your answer? If you have then what are you asking? And if you haven't, the why not? – 2012-09-30