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 } $
(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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