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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The integral ∫dxx+x23\int \frac{d x}{\sqrt{x}+\sqrt[3]{x^2}} represents the function
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Correct option: B
3x3−6x6+6log⁡∣1+x6∣+c3 \sqrt[3]{x}-6 \sqrt[6]{x}+6 \log |1+\sqrt[6]{x}|+c
Option B (3x3−6x6+6log⁡∣1+x6∣+c3 \sqrt[3]{x}-6 \sqrt[6]{x}+6 \log |1+\sqrt[6]{x}|+c) is correct because it is the result of integrating the given expression using substitution.

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