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## Homework Statement

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

## Homework Equations

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

## 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 :/

#### Attachments

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