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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫dxx5/2(x+1)7/23\int \frac{d x}{\sqrt[3]{x^{5 / 2}(x+1)^{7 / 2}}} is equal to:
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Correct option: B
6(x+1x)−1/6+C6\left(\frac{x+1}{x}\right)^{-1 / 6}+C
Option B (6(x+1x)−1/6+C6\left(\frac{x+1}{x}\right)^{-1 / 6}+C) is correct because it results from the correct substitution and integration of the given expression.

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