JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int\limits_{0}^{\pi / 4} \frac{\sec ^2 x}{(1+\tan x)(2+\tan x)} d x

equals

View answer and explanation

Correct option: D

\log _e \frac{4}{3}

Option D (

\log_e \frac{{4}}{{3}}

) is correct because it is derived by substituting

t = \tan x

and evaluating the definite integral.

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