You are Here: Home >< Maths

# CAN SOMEONE PLEASE INTEGRATE THIS.... watch

1. Hi

∫1/(x^2 -4) by partial fractions

thanks
2. ∫1/(x^2 -4) = A/(x + 2) + B/(x - 2)

It will turn out that -A = B = 1/4

∫1/(x^2 -4) dx = (1/4)∫1/(x - 2) - 1/(x + 2) dx

= (1/4) [ ln|x - 2| - ln|x + 2| ] + K

= (1/4) ln [A(x - 2)/(x + 2)]

Putting the constant of integration in the ln.
3. (Original post by Spenceman_)
∫1/(x^2 -4) = A/(x + 2) + B/(x - 2)

It will turn out that -A = B = 1/4

∫1/(x^2 -4) dx = (1/4)∫1/(x - 2) - 1/(x + 2) dx

= (1/4) [ ln|x - 2| - ln|x + 2| ] + K

= (1/4) ln [A(x - 2)/(x + 2)]

Putting the constant of integration in the ln.
yeh thats the answer in the book, i was just wondering if you would lose marks for not taking the 1/4 outside the brackets?
4. (Original post by melbourne)
yeh thats the answer in the book, i was just wondering if you would lose marks for not taking the 1/4 outside the brackets?
Depends wether it said in its simplest form or not, if it doesnt you should get full marks.

### 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: June 23, 2005
The home of Results and Clearing

### 2,765

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