Definite Integration Question 488
Question: If $ \int _{-a}^{a}{\sqrt{\frac{a-x}{a+x}}dx=k\pi ,} $ then $ k= $
[AISSE 1986; SCRA 1986]
Options:
A) $ -a $
B) $ -2a $
C) $ 2a $
D) $ a $
Show Answer
Answer:
Correct Answer: D
Solution:
Since $ \int _{-a}^{a}{\sqrt{\frac{a-x}{a+x}}dx=a\pi } $
So comparing it with the given value, we get $ k=a $ .
BETA
