JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\int_{-1 / \sqrt{3}}^{1 / \sqrt{3}} \frac{x^4}{1-x^4} \cos ^{-1} \frac{2 x}{1+x^2} d x=k \int_0^{1 / \sqrt{3}} \frac{x^4}{1-x^4}

, then '

k

' is equal to

View answer and explanation

Correct option: A

\pi

Option A (

\pi

) is correct because, after applying King's property and simplifying, the value of k is found to be

\pi

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