(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 :/

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integration Problem

**Physics Forums | Science Articles, Homework Help, Discussion**