JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{1}{\sin ^4 x+\cos ^4 x} d x

equals

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Correct option: A

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

Option A is correct because the integral simplifies to a form that can be solved using the arctangent function, resulting in the given expression.

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