You are Here: Home >< Maths

Can someone help me with this integral?

Announcements Posted on
TSR's new app is coming! Sign up here to try it first >> 17-10-2016

1. I've got this far but I can't seem to find the answer.
2. Convert -1/3 / 2x-6 into 1 / 6(x-3).

Then take out a factor of 1/6

Then integrate.
3. HINT:Think about Ln function, rule is when its 1/X or 1/(something) to the power of 1 when you integrate it will be Ln(something) and then the reverse chain rule to get back to it if you were to differentiate
4. Remember
$\int \frac{1}{f(x)} \ dx = \frac{ln\left | f(x) \right |}{f'(x)} + C$
5. (Original post by The_Big_E)
Remember
$\int \frac{1}{f(x)} \ dx = \frac{ln\left | f(x) \right |}{f'(x)} + C$
This is a common misconception among students - the formula you have given applies only when f(x) is linear, i.e. of the form ax+b. For example, let f(x)=e^(x^2), giving the integral of e^(-x^2) - your formula gives some function as the answer, but in fact e^(-x^2) is impossible to integrate, though this result is beyond A-Level.
6. Thanks for all of the help, it took a while but I managed to do It.

Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: June 22, 2016
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:
Today on TSR

How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

Maths Forum posting guidelines

Not sure where to post? Read here first

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Chat with other maths applicants