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

[tex]\int_\frac{-\pi}{4}^\frac{\pi}{4} \frac{sec^2(x)}{(\sqrt{1-tan^2(x)})}[/tex]

2. Relevant equations

None

3. The attempt at a solution

Ok I've done the substitution u=tan(x) and it neatly works out as

[tex]\int_\frac{-\pi}{4}^\frac{\pi}{4} \frac{1}{(\sqrt{1-u^2})}\rightarrow sin^{-1}(tan(x))+c[/tex]

I get 3.1416 to 4dp? Can someone check that is right, I've checked it on my calc, but when I type it into the maths program I have it throws up an error message for some reason. Just want someone to confirm I have the correct figure and that I haven't done something silly.

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# Need an answer check

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