JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{x \sqrt{1-x^3}}=a \log \left|\frac{\sqrt{1-x^3}-1}{\sqrt{1-x^3}+1}\right|+c

, then

View answer and explanation

Correct option: C

a=\frac{1}{3}

Option C is correct because after substitution and simplification, the integral becomes a standard logarithmic form, resulting in

a = \frac{1}{3}

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