JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

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

, is

View answer and explanation

Correct option: B

\frac{2}{5}\left(x+\frac{1}{x}\right)^{5 / 2}+C

Option B is correct because the integral simplifies to (2/5)(x + 1/x)^(5/2) + C after recognizing the derivative pattern.

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