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Question

Question: \(\tan^{- 1}(\tan^{2}x) + c\)...

tan1(tan2x)+c\tan^{- 1}(\tan^{2}x) + c

A

cot1(cot2x)+c\cot^{- 1}(\cot^{2}x) + c

B

tan1(cot2x)+c\tan^{- 1}(\cot^{2}x) + c

C

x2x(2logxx)dx=\int_{}^{}{\frac{x - 2}{x(2\log x - x)}dx} =

D

log(2logxx)+c\log(2\log x - x) + c

Answer

cot1(cot2x)+c\cot^{- 1}(\cot^{2}x) + c

Explanation

Solution

Put 5cosx+c5\cos x + c then

5cosx+c- 5\cos x + c

5sinx+c5\sin x + c