Turn on thread page Beta
 You are Here: Home >< Maths

Finding the integral of inverse sinx watch

1. Is my working right so far?

Posted from TSR Mobile
Attached Images

2. (Original post by SDavis123)
Is my working right so far?

Posted from TSR Mobile
I think integration by parts is the way to go with this one
3. Yes. That is correct.

Now you have to put it back in terms of 'x'.
4. (Original post by claret_n_blue)
Yes. That is correct.

Now you have to put it back in terms of 'x'.
But if I do that I get

Sin^(-1)x.sin.sin^(-1) + cos.sin^(-1) + k

How would you simplify that?

Posted from TSR Mobile
5. (Original post by SDavis123)
But if I do that I get

Sin^(-1)x.sin.sin^(-1) + cos.sin^(-1) + k

How would you simplify that?
For the

that uses a similar principle to . So I'm sure you can figure out what that is.

For the second bit, you need to remember this identity:

.

I'm just working through the proof now, I will edit this post and write it up when I have done.

................

PROOF:

'O' = Opposite
'H' = Hypotenuse

We know that

Now, in a triangle defined by , we have defined and .

From Pythagoras theorem, we know that . So that means that

,

which can be re-written as

.

Now we also know that . We have already said that .

So in this triangle, we now have .

From before, we said that .

So we get

.
6. (Original post by SDavis123)
But if I do that I get

Sin^(-1)x.sin.sin^(-1) + cos.sin^(-1) + k

How would you simplify that?

Posted from TSR Mobile
It's quite simple.

Given

surely you can simplify

by noting that

Also

7. Ok I think I get it but I definitely wouldn't have thought of this myself

And thank you so much for the help guys, I really appreciate the effort you put in, especially with that proof

Posted from TSR Mobile

Turn on thread page Beta

Related university courses

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 28, 2013
Today on TSR

Edexcel C3 Maths Unofficial Markscheme

Find out how you've done here

1,028

students online now

Exam discussions

Poll
Useful resources

Make your revision easier

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Create your own Study Planner

Never miss a deadline again

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE