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Topic: Help me understand...INT (sin^5 x)
Replies: 7   Last Post: Dec 5, 2013 4:01 PM

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Posts: 1,677
Registered: 12/1/07
Re: Help me understand...INT (sin^5 x)
Posted: Dec 4, 2013 1:28 PM
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On Wednesday, December 4, 2013 4:36:20 AM UTC-8, wrote:
> Can you solve please (; dx/(cosx)5

If you mean to integrate cos(x)^5, the answer is
(1/5)sin(x)*cos(x)^4 +(4/15)sin(x)*cos(x)^2 + (8/15)sin(x) + C.

If you mean to integrate 1/cos(x)^5 the answer is
(1/4)sin(x)/cos(x)^4 + (3/8)sin(x)/cos(x)^2 + (3/8)ln[sec(x)+tan(x)] + C

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