JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{\sqrt{x+a}+\sqrt{x+b}}=

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Correct option: B

\frac{2}{3(a-b)}\left[(x+a)^{3 / 2}-(x+b)^{3 / 2}\right]+c

Option A is correct because rationalizing the denominator and integrating the resulting terms leads to

\frac{2}{3(a-b)}[(x+a)^{3/2} - (x+b)^{3/2}] + c

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