Intergrate -x/(1-x^2)dx, i tried partial fractions but i didn't get a valid answer,

Thanks for any help :)

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- Jan 16th 2013, 12:17 PMSaxbyIntergration of fraction
Intergrate -x/(1-x^2)dx, i tried partial fractions but i didn't get a valid answer,

Thanks for any help :) - Jan 16th 2013, 12:20 PMMarkFLRe: Intergration of fraction
I would try a

*u*-substitution:

- Jan 16th 2013, 12:31 PMSaxbyRe: Intergration of fraction
Yep i've got the answer, -(1/2)ln(1-x^2). Thanks for the suggestion :)

- Jan 16th 2013, 12:46 PMMarkFLRe: Intergration of fraction
You don't want the negative sign out front...

- Jan 16th 2013, 03:22 PMSorobanRe: Intergration of fraction
Hello, Saxby!

Quote:

I tried partial fractions but i didn't get a valid answer. .Must have made errors.

We have: .

Let

Let

We have: .

. . . . . . .

. . . . . . .

- Jan 17th 2013, 11:07 AMzaidalyafeyRe: Intergration of fraction
Hi guys , happy to see you here (Itwasntme)

partial fractions can be made easier ,if we played a little trick

- Jan 17th 2013, 11:43 AMMarkFLRe: Intergration of fraction
Hey there! Glad to see a familiar name!

We could avoid the negative sign issue altogether by writing: