JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{1}{x(1+\sqrt[3]{x})^2} d x

is equal to

View answer and explanation

Correct option: A

3\left\{\log \left(\frac{x^{1 / 3}}{1+x^{1 / 3}}\right)+\frac{1}{1+\sqrt[3]{x}}\right\}+C

Option A,

3\left{\log \left(\frac{x^{1 / 3}}{1+x^{1 / 3}}\right)+\frac{1}{1+\sqrt[3]{x}}\right\}+C

, is correct because it is the result of integrating the given expression after a suitable substitution and partial fraction decomposition.

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