Hi everyone,

Is there a trig identity for combining

and if not, what's the best way to integrate this?

Thanks,

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- March 27th 2010, 11:57 AM #1

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- March 27th 2010, 12:07 PM #2
No there is no identity that I know of, the solution is to integrate by parts twice and realise that the second integral is equal to the question being asked. Also you should be very careful with your

**+**and**-**signs

Integrate by parts on the integral we have on the RHS

Putting this into the original integration by parts.

Note that we have the question, I, here.

Isolate I and this expression will be equal to the question

- March 27th 2010, 12:12 PM #3

- March 27th 2010, 12:34 PM #4

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- March 27th 2010, 12:42 PM #5

- March 27th 2010, 01:30 PM #6