JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{(x+1)^{2 / 3}(x-1)^{4 / 3}}

equals

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Correct option: A

\frac{3}{2}\left(\frac{1+x}{1-x}\right)^{1 / 3}+c

Option A is correct because the integral is solved by substitution, where (x+1)/(x-1) = t³, simplifying the integral to a power rule.

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