JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{d x}{\sin ^2 x+\tan ^2 x}

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Correct option: A

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

Option A (

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

) is correct because it is the result of integrating the given expression using trigonometric identities and substitution.

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