JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

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Correct option: C

\frac{3}{4}\left(\frac{2+x}{2-x}\right)^{2 / 3}+c

Option C is correct because the integral is solved using substitution, where (2-x)/(2+x) = t³, simplifying the integral to a power rule.

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