JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \sqrt{\frac{x}{a^3-x^3}} d x=m \sin ^{-1}\left(\frac{x}{a}\right)^n+C

, then

View answer and explanation

Correct option: C

m=1 / n

Option C is correct because after evaluating the integral, we find that

m = \frac{2}{3}

and

n = \frac{3}{2}

, which means

m = \frac{1}{n}

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