You are Here: Home >< Maths

# Integration by substitution watch

1. Hi please could someone help me with exercise 3.3 on the attached sheet. I've gotten to ln(1+tan(theta/2)/1-tan(theta/2)) and have no idea how to progress from there. Been stuck for hours..
Attached Images

2. (Original post by jordanwu)
Hi please could someone help me with exercise 3.3 on the attached sheet. I've gotten to ln(1+tan(theta/2)/1-tan(theta/2)) and have no idea how to progress from there. Been stuck for hours..
Multiply by and then rearrange a bit.
3. (Original post by 16Characters....)
Multiply by and then rearrange a bit.
I've got ln(1+2tan(theta/2)+tan^2(theta/2)/1-tan^2(theta/2)) now, the answer needs theta not theta/2 in it but I'm not sure what I'm supposed to do now
4. (Original post by jordanwu)
I've got ln(1+2tan(theta/2)+tan^2(theta/2)/1-tan^2(theta/2)) now, the answer needs theta not theta/2 in it but I'm not sure what I'm supposed to do now
Split it into two fractions and see if you recognise them.

### 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: October 31, 2016
The home of Results and Clearing

### 2,218

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. Sheffield Hallam University
Tue, 21 Aug '18
2. Bournemouth University
Wed, 22 Aug '18
3. University of Buckingham
Thu, 23 Aug '18
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