You are Here: Home >< A-levels

# Integration by substitution method question watch

1. 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
2. Attachment 512291512293
I hope the image is clear enough, i tried using identities but could get the right answer.
Thanks
Attached Images

3. (Original post by SamuelN98)
Attachment 512291512293
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 is . So now just integrate between the 2 limits.
4. (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
5. Thanks!
(Original post by B_9710)
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 is . So now just integrate between the 2 limits.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 12, 2016
The home of Results and Clearing

### 2,844

people online now

### 1,567,000

students helped last year
Today on TSR

### Took GCSEs this summer?

Fill in our short survey for Amazon vouchers!

### University open days

1. Bournemouth University
Wed, 22 Aug '18
2. University of Buckingham
Thu, 23 Aug '18
3. University of Glasgow
Tue, 28 Aug '18
Poll

## All the essentials

### Student life: what to expect

What it's really like going to uni

### Essay expert

Learn to write like a pro with our ultimate essay guide.

### Create a study plan

Get your head around what you need to do and when with the study planner tool.

### Resources by subject

Everything from mind maps to class notes.

### Study tips from A* students

Students who got top grades in their A-levels share their secrets