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RSS  Maths revision, coursework or discussion you will find help in here.
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Old 28-12-2008: 28th December 2008 23:25 #1 
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Default help with 2sin3xsin2x integration?
 
So yeah I'm doing a bit of late night revision (because I'm suddenly panicking at how close exams are and how little revision I've done...) and I got stuck on this question and I was wondering if anyone could help?

It's to integrate this
2sin3xsin2x

I tried to do it by parts...but failed....
(the answer in the mark scheme is sinx - 1/5sin5x + c )
I appreciate you reading
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Old 28-12-2008: 28th December 2008 23:25 #2 
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Default Re: help with 2sin3xsin2x integration?
 
Product-to-sum identities.
Old 28-12-2008: 28th December 2008 23:27 #3 
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Default Re: help with 2sin3xsin2x integration?
 
Integration by parts twice
Old 28-12-2008: 28th December 2008 23:27 #4 
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Default Re: help with 2sin3xsin2x integration?
 
Use this identity..

\cos P-\cos Q=-2\sin \frac{P+Q}{2}\sin \frac{P-Q}{2}
Old 28-12-2008: 28th December 2008 23:32 #5 
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Default Re: help with 2sin3xsin2x integration?
 
cos (3x+2x)=?
cos (3x-2x)=?
This may help
Old 28-12-2008: 28th December 2008 23:39 #6 
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Default Re: help with 2sin3xsin2x integration?
 
wow never seen that identity before but it worked! :o

Thank you all

I'm gonna have to go look more up about it now :P
Old 28-12-2008: 28th December 2008 23:41 #7 
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Default Re: help with 2sin3xsin2x integration?
 
They're infinitely useful, and the fact that they don't seem to appear in many A-level syllabuses disturbs me:
http://www.mathwords.com/p/product_t...identities.htm
http://www.mathwords.com/s/sum_to_pr...identities.htm
 
 
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