You are Here: Home >< Maths

# Integrating fractions watch

1. When you integrate a fraction how do you know if it integrates to ln or just normally? (if that makes sense).

I might be wrong i cant remember but is it just when the power of c is 1 i.e. 1/x would integrate to lnx but 1/x^2 would integrate to -x^-1

Is that right?
2. (Original post by kiiten)
When you integrate a fraction how do you know if it integrates to ln or just normally? (if that makes sense).

I might be wrong i cant remember but is it just when the power of c is 1 i.e. 1/x would integrate to lnx but 1/x^2 would integrate to -x^-1

Is that right?
Thats right.

The rule is

So the requirement is that the numerator is the derivative of the denominator.
3. (Original post by RDKGames)
Thats right.

The rule is

So the requirement is that the numerator is the derivative of the denominator.
Ahh yes i remember now that makes sense, thanks

So if you had 2x/x^2 the integral would be lnx^2 ?
4. (Original post by kiiten)
Ahh yes i remember now that makes sense, thanks

So if you had 2x/x^2 the integral would be lnx^2 ?
Yes, which is also the same as which coincides with the fact that

### 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: February 8, 2018
The home of Results and Clearing

### 2,609

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. SAE Institute
Animation, Audio, Film, Games, Music, Business, Web Further education
Thu, 16 Aug '18
2. Bournemouth University
Fri, 17 Aug '18
3. University of Bolton
Fri, 17 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