Integration by substitution method question

Hi.
The question is.
What is the integral between 0 and 0.5, of 1/(1-x^2)^(3/2)
And told to substitute x=sinx

I seem to get lost in getting it into a form that is possible to integrate.
Thanks

Reply 1

SamuelN98

Attachment not found

I hope the image is clear enough, i tried using identities but could get the right answer.
Thanks

Original post by SamuelN98

Attachment not found

I hope the image is clear enough, i tried using identities but could get the right answer.
Thanks

The minus sign should not be there. And you need to change the limits from x values to theta values. Other than that you got it, the integral of

\sec^2 x

\tan x

. So now just integrate between the 2 limits.

(edited 8 years ago)

Reply 3

TeeEm

Original post by SamuelN98

Hi.
The question is.
What is the integral between 0 and 0.5, of 1/(1-x^2)^(3/2)
And told to substitute x=sinx

I seem to get lost in getting it into a form that is possible to integrate.
Thanks

http://www.thestudentroom.co.uk/forumdisplay.php?f=38

Reply 4

SamuelN98

Thanks!

Original post by B_9710