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August 23, 2014

August 23, 2014

Posted by **daniel** on Sunday, February 27, 2011 at 11:54am.

cot^4(1-2x)dx

- math -
**agrin04**, Monday, February 28, 2011 at 1:45am|cot^4(1-2x) dx =

= |cot^2(1-2x)*cot^2(1-2x) dx

= |{cosec^2(1-2x) - 1}*cot^2(1-2x) dx

= |cosec^2(1-2x)*cot^2(1-2x) dx - |cot^2(1-2x) dx

= |cosec^2(1-2x)*cot^2(1-2x) d(cot(1-2x))/(-cosec^2(1-2x)*(-2)) - |{cosec^2(1-2x) - 1} dx

= (1/2)|cot^2(1-2x) d(cot(1-2x)) - |cosec^2(1-2x) dx + |dx

= (1/6)cot^3(1-2x) - (1/2)cot(1-2x) + x + const

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