JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{1}{x \sqrt{1-x^3}} d x

is equal to

View answer and explanation

Correct option: A

\frac{1}{3} \log \left|\frac{\sqrt{1-x^3}-1}{\sqrt{1-x^3}+1}\right|+C

Option A (

\frac{{1}}{{3}} \log \left| \frac{{\sqrt{{1-x^3}}-1}}{{\sqrt{{1-x^3}}+1}} \right|+C

) is correct because it is the result of the integration after appropriate substitution and simplification.

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{C}

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