JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

then

a

is equal to

View answer and explanation

Correct option: A

\frac{1}{3}

Option A (

\frac{1}{3}

) is correct because after substitution and integration, the coefficient of the logarithmic term is

\frac{1}{3}

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