You are Here: Home >< Maths

# Hard integral - maybe Watch

1. Without using substitution, evaluate the integral
.
2. (Original post by Ano123)
Without using substitution, evaluate the integral
.
Are you asking a question or posing a challenge? In any case multiply the denominator and numerator by so the integrand becomes . Then use the relation to evaluate the integral.
3. Spoiler:
Show
Edit: Damn I always get ninjaed by someone more elegant.

4. Ok. A harder one I think.

.
5. (Original post by Ano123)
Ok. A harder one I think.

.
Substitute ; it becomes easy partial fractions after that.
6. (Original post by Zacken)
Substitute ; it becomes easy partial fractions after that.
I used sub . I made this question up and didn't see the sun you made.
Did you get an answer or just spot the substitution without actually doing it?

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: June 6, 2016
Today on TSR

### Medicine offers rolling in

Which unis have sent theirs?

### I refused to be served by tattooed cashier

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### 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

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• 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

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.