If _ - a ^a a - x a + x ,dx = k , then k = - Vidyadip

MCQ

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

A
$ - a$
B
$ - 2a$
C
$2a$
✓
$a$

✓

Answer

Correct option: D.

$a$

d
(d) Since $\int_{ - a}^a {\sqrt {\frac{{a - x}}{{a + x}}} dx = a\pi } $

So comparing it with the given value, we get $k = a$.

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