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If int(3cot3x-cotx)/(tanx-3tan3x)dx = pf...

If `int(3cot3x-cotx)/(tanx-3tan3x)dx = pf(x) + qg(x)+C`, then which of the following may be correct?

A

`p=1,q=1/sqrt(3), f(x)=x,g(x)="ln"|(sqrt(3)-tanx)/(sqrt(3)+tanx)|`

B

`p=1, q=-1/sqrt(3), f(x)=x,g(x)="ln"|(sqrt(3)-tanx)/(sqrt(3)+tanx)|`

C

`p=1, q=-2/sqrt(3), f(x)=x,g(x)="ln"|(sqrt(3)+tanx)/(sqrt(3)-tanx)|`

D

`p=1, q=-1/sqrt(3),f(x)=x,g(x)="ln"|(sqrt(3)+tanx)/(sqrt(3)-tanx)|`

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