JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

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

is equal to

View answer and explanation

Correct option: D

-\frac{1}{a} \sqrt{\frac{x+a}{x-a}}+c

Option D (

-\frac{1}{a} \sqrt{\frac{x+a}{x-a}}+c

) is correct because after substitution and integration, the expression simplifies to this form.

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