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  • Choose the correct answer ((sin^2x-cos^2x)dx/ (sin^2xcos^2x))

Q23 Choose the correct answer 

           \int \frac{\sin ^ 2 x - \cos ^ 2 x dx }{\sin ^ 2 x \cos ^ 2x } dx \: \:is \: \:equal \: \: to 

              (A) \tan x + \cot x + C \\\\(B) \tan x + \cosec x + C\\\\ (C) - \tan x + \cot x + C\\\\ (D) \tan x + \sec x + C

Answers (1)

best_answer

The correct option is (A)

On reducing the above integral becomes  \sec^2x-csc^2x
                                                                 \int\sec^2x-csc^2x\ dx = \tan x+ \cot x+C

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manish

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