JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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\int {\frac{{3\tan \left( {x - \frac{\pi }{4}} \right)}}{{{{\cos }^2}x\sqrt {{{\tan }^3}x + {{\tan }^2}x + \tan x} }}dx = k\,\,{{\tan }^{ - 1}}\left( {\sqrt {\tan x + 1 + \cot x} } \right) + C,}

then the value of

k

is: [where

C

is constant of integration].

View answer and explanation

Correct option: C

Option C, 6, is correct because after substitution and integration, the value of k is found to be 6.

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