the integral of 16 cos^4 theta -1 d(theta).

Thank you very much.

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- Jul 31st 2007, 10:34 PMkittycatcalculating a integral -need help
the integral of 16 cos^4 theta -1 d(theta).

Thank you very much. - Jul 31st 2007, 10:55 PMkittycat
Hi turkeywilliam,

Thank you very much for your reply.

Let me give you the exact question with the range.

evaluate 1/4 times the double integral ( from 0 to pi/3) of 16 cos^4 theta -1 d(theta). Could you please show me the final answer with detail steps . Thanking you in advance. - Jul 31st 2007, 11:05 PMkittycat
oops! sorry, it should be the integral - not Double integral.

- Jul 31st 2007, 11:12 PMtukeywilliams
- Jul 31st 2007, 11:25 PMtukeywilliams

So

And so we have evaluated from to .

So we get: - Jul 31st 2007, 11:29 PMkittycat
Thank you very much turkeywilliam. I'll go through your work in detail. I have the answer of this question is 7sqrt(3)/16 + 5pi/12. Do you get this answer as well?

- Jul 31st 2007, 11:40 PMtukeywilliams
yes I got that.

- Jul 31st 2007, 11:49 PMkittycat
yes, me too. Thank you very much. :)