JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{\left(\tan ^{-1}(\sin x+1)\right) \cos x}{\left(3+2 \sin x-\cos ^2 x\right)} d x

is (where

c

is the constant of integration)

View answer and explanation

Correct option: C

\frac{\left(\tan ^{-1}(\sin x+1)\right)^2}{2}+c

Option C,

\frac{\left(\tan ^{-1}(\sin x+1)\right)^2}{2}+c

, is correct because it results from the substitution and integration of the given expression.

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