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int(cos4x-1)/(cotx-tanx)dx is equal to ...

`int(cos4x-1)/(cotx-tanx)dx` is equal to
(A) `1/2ln|sec2x|-1/4cos^2 2x+c`
(B) `1/2ln|sec2x|+1/4cos^2x+c`
(C) `1/2ln|cos2x|-1/4cos^2 2x+c`
(D) `1/2ln|cos2x|+1/4cos^2x+c`

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