JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{d x}{\cos ^6 x+\sin ^6 x}

equals

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Correct option: B

\frac{1}{\sqrt{3}} \operatorname{Tan}^{-1} \frac{(\tan x-\cot x)}{\sqrt{3}}+c

Option B is correct because the integral simplifies to an arctangent form after trigonometric manipulation and substitution.

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