JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of integral

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

is given by

View answer and explanation

Correct option: B

\frac{1}{3} \log \left|\frac{\sqrt{1-x^3}-1}{\sqrt{1-x^2}+1}\right|+C

Option B (

\frac{{1}}{{3}} \log |\frac{{\sqrt{{1-x^3}}-1}}{{\sqrt{{1-x^2}}+1}}| + C

) is correct because it is the result of using substitution and partial fractions to evaluate the integral.

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