(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex] \int {\frac{sin^{2}x}{1+sin^{2}x}dx}[/tex]

2. Relevant equations

Let t = tan x/2, then dx = 2/(1+t^2) and sin x = 2t / (1+t^2)

3. The attempt at a solution

I got up to the point where [tex] \int {\frac{8t^{2}}{(1+6t^{2}+t^{4})(1+t^{2})} dt}[/tex]. Not sure if I'm on the right track and if I am, do I use partial fractions after this?

The final answer is attached. Can't really make out the handwriting :/

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# Homework Help: Integration Problem

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