You are Here: Home >< Maths

# integrate Watch

1. how to integrate :dx/(cosx-cos5x)...thx
2. (Original post by liviabruma)
how to integrate :dx/(cosx-cos5x)...thx
Is that ?
Because it's really complicated
Wolfram alpha tends to overcomplicate things, so I simplified as far as I could and fed it in and the answer looks horrible
3. it's surely got to be

4. it depends on if the 5 is a power or an integer?
5. If you could LaTeX your maths, that would be good - I assume you mean . I would strongly recommend avoiding doing that integral - it's truly disgusting, and the answer is
6. What's with the neg? I was trying to clarify what the OP was asking.
7. (Original post by Smaug123)
If you could LaTeX your maths, that would be good - I assume you mean . I would strongly recommend avoiding doing that integral - it's truly disgusting, and the answer is
And you latex'd that instead of doing?
(Original post by joostan)
What's with the neg? I was trying to clarify what the OP was asking.
Me too...
8. (Original post by I am Ace)
And you latex'd that instead of doing…
Nah, I just shoved it into WolframAlpha in Mathematica, then used the rather handy function TeXForm on the resulting output. All of twenty seconds, and it was mostly waiting for the internet to hurry up.
Having said that, I'm meant to be doing past papers, and this is good procrastination :P
9. (Original post by liviabruma)
how to integrate :dx/(cosx-cos5x)...thx
(Original post by joostan)
Is that ?
Because it's really complicated
Wolfram alpha tends to overcomplicate things, so I simplified as far as I could and fed it in and the answer looks horrible
Use complex numbers to expand and then use the t substitution ().
10. (Original post by Jkn)
Use complex numbers to expand and then use the t substitution ().
I just realised how many integrals of this type can be solved by complex number expansions!
11. (Original post by I am Ace)
I just realised how many integrals of this type can be solved by complex number expansions!
Mwuhahahaa

Now you all must try this:
12. The Tangent half angle sub can probably be used too.
13. (Original post by Jkn)
Mwuhahahaa

Now you all must try this:
Someone's going about just negging everyone who writes an equation...
maybe he's a latex-ophobe
Impossebleh,
I'd give it a go (rough idea what I might do using that complex formula) but to be honest,

AIN'T NOBODY GAT TIME FO DAT
14. (Original post by I am Ace)
Someone's going about just negging everyone who writes an equation...
maybe he's a latex-ophobe
Impossebleh,
I'd give it a go (rough idea what I might do using that complex formula) but to be honest,

AIN'T NOBODY GAT TIME FO DAT
Yeah, I was thinking that Odd! Let's balance it out and start giving everything on here the thumbs up!

It's ****ing brutal! I can do it when n is small but it's so hard to do it for all n (I think it's possible though!) The solution of the first few values of n was posted by LotF on TpiT (using Laplace Tranforms... which are awesome and surprisingly easy once you learn them!)

Also, whenever n is a natural number, it seems like the integral is a always in the form for positive integers p,q.

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: May 17, 2013
Today on TSR

...in schools

### I think I'm transgender AMA

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• 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

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.