- #1
Schrodinger's Dog
- 835
- 7
Homework Statement
[tex]\int_\frac{-\pi}{4}^\frac{\pi}{4} \frac{sec^2(x)}{(\sqrt{1-tan^2(x)})}[/tex]
Homework Equations
None
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.
Last edited: