If $\int_\limits {-a}^a \sqrt{\frac{a-x}{a+x}} d x=k \pi$, then $k=$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int\limits_{{-a}}^a \sqrt{\frac{a-x}{a+x}} d x=k \pi

, then

k=

View answer and explanation

Correct option: D

a

Option D (

a

) is correct because the integral evaluates to

a\pi

, and comparing this with

k\pi

gives

k=a

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