How to integrate dx/(1-x^2)^(3/2)

[kira137]

Homework Statement

S dx/(1-x^2)^(3/2)

Homework Equations

The Attempt at a Solution

I tried seperating the bottom

S 1/((1-x^2)^(1/2))(1-x^2)

then tried to use integration by parts... but I think that doesn't work..

how would I get the power to 1/2?

thank you in advance

 

[danago]

Thought about trying a trig. substitution?

 

[tiny-tim]

Hi kira137!

(have a square-root: √ and try using the X² tag just above the Reply box )

Alternative hint: can you integrate x²/(1 - x²)^3/2 by parts ?