You are Here: Home

# Integrate 1 + sinx/cos x

Announcements Posted on
Talking about ISA/EMPA specifics is against our guidelines - read more here 28-04-2016
1. (Original post by James A)
have you learnt the integration rule, where if you differentiate the denominator, you get the value that appears in the numerator. hence ln(your original function)

have you come across this before?

this could prove useful here.

someone else correct me if im wrong

WHOOPS PARTIAL FRACTIONS ARE THE WAY FORWARD
Look at post no. 9, i have hinted towards this method.
2. (Original post by blacklistmember)
you wally.
Why post then?
no idea
4. (Original post by James A)
WHOOPS PARTIAL FRACTIONS ARE THE WAY FORWARD
It's not.
5. (Original post by raheem94)
Look at post no. 9, i have hinted towards this method.
yeah i know, but i forgot to include your post in my response. Sorry.
6. (Original post by James A)
you wally.
i had to look that up :P
It's not.
It's not.
Both ways, can be used. Your method is faster, but doing partial fractions also takes moments.
9. (Original post by This Honest)
integrate: 1 +u/1-u^2 ??
Please put in brackets with things like this, i.e. (1+u)/(1-u²). Not doing so has led to some misleading advice because people think you mean and instead of and .

Anyway, you got the right answer .

(In fact you can remove the mod signs since for all .)
10. (Original post by raheem94)
Both ways, can be used. Your method is faster, but doing partial fractions also takes moments.
I beg to differ: your partial fraction isn't the same as the function of the substitution (see Nuodai's post).
11. (Original post by nuodai)
Please put in brackets with things like this, i.e. (1+u)/(1-u²). Not doing so has led to some misleading advice because people think you mean and instead of and .

Anyway, you got the right answer .

(In fact you can remove the mod signs since for all .)
Sound like my maths teacher now
Thanks, I will next time
I beg to differ: your partial fraction isn't the same as the function of the substitution (see Nuodai's post).
So we were solving the wrong question. The question was different, right?
13. (Original post by This Honest)
Sound like my maths teacher now
Thanks, I will next time
I've been made grumpy with age
14. (Original post by raheem94)
So we were solving the wrong question. The question was different, right?
Yeah..sorry that was my fault. As noudai said...I caused confusion in the way I wrote it out
15. (Original post by nuodai)
If you substitute then you get , so you get on the denominator. How might you write in terms of ?
Why have you made u equal to cos x here?
16. (Original post by This Honest)
Yeah..sorry that was my fault. As noudai said...I caused confusion in the way I wrote it out
No problem, but please learn LaTeX, it only takes a few minutes to learn it.
17. (Original post by raheem94)
No problem, but please learn LaTeX, it only takes a few minutes to learn it.
I'll try and learn it when I'm having difficulty with C4 again before I post the problem
18. (Original post by TheGrinningSkull)
Why have you made u equal to cos x here?
Typo; I'd set . If I'd actually set then I wouldn't have got , after all.
19. An alternative approach would be to notice that , which after a bit of cancelling leads to logs directly.

EDIT: just realised the OP was asked for a specific sub, so this can be ignored.
20. (Original post by Farhan.Hanif93)
An alternative approach would be to notice that , which after a bit of cancelling leads to logs directly.
thanks for that.
I'd stick with my method though

## 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: April 1, 2012
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 to predict exam questions

No crystal ball required

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