JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \sqrt{\frac{1-\sqrt{x}}{1+\sqrt{x}}} d x=

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Correct option: A

-2 \sqrt{1-x}+\operatorname{Cos}^{-1} \sqrt{x}+\sqrt{x-x^2}+c

Option A (

-2 \sqrt{1-x}+\operatorname{Cos}^{-1} \sqrt{x}+\sqrt{x-x^2}+c

) is correct because it is the result of trigonometric substitution and simplification of the integral.

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