The value of $\int \frac{\mathrm{d} x}{\sqrt{x}+\sqrt[3]{x}}$ is

$3 \sqrt{x}+3(\sqrt[3]{x})-6(\sqrt[6]{x})+6 \log (\sqrt[6]{x}+1)+C$

$2 \sqrt{x}+6 \sqrt[6]{x}-6 \log (\sqrt[6]{x}+1)+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{\mathrm{d} x}{\sqrt{x}+\sqrt[3]{x}}

View answer and explanation

Correct option: C

2 \sqrt{x}-3(\sqrt[3]{x})+6(\sqrt[6]{x})-6 \log (\sqrt[6]{x}+1)+C

Option C is correct because the integral can be solved by using a substitution to simplify the expression.

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