# Math Help - Integral calculation is giving me a headache

1. ## Integral calculation is giving me a headache

I'm new to the forum so I'm to sure how to pose my question in LaTeX, so if someone could point me in the direction of some LaTeX information that would be great!

I need to calculate the indefinite integral of:

1 / [(x^2)*sqrt(1-(a/x^2))] wrt x ( a is not a(x) ).

Any prod in the right direction would be greatly appreciated!!

Thanks!

2. Originally Posted by boomlegboom
I'm new to the forum so I'm to sure how to pose my question in LaTeX, so if someone could point me in the direction of some LaTeX information that would be great!

I need to calculate the indefinite integral of:

1 / [(x^2)*sqrt(1-(a/x^2))] wrt x ( a is not a(x) ).

Any prod in the right direction would be greatly appreciated!!

Thanks!
let $t= \frac{\sqrt{a}}{x} \implies dt=\frac{-\sqrt{a}}{x^2}dx$

This gives the integral

$-\sqrt{a}\int \frac{1}{\sqrt{1-t^2}}dt=\sin^{-1}(t)=...$

3. Thank you!