Definite Integration Question 79
Question: The area bounded by curve $ y^{2}=x, $ line $ y=4 $ and y-axis is
[Roorkee 1995; RPET 2003]
Options:
A) $ \frac{16}{3} $ sq. unit
B) $ \frac{64}{3} $ sq. unit
C) $ 7\sqrt{2} $ sq. unit
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Required area = area of OABC - area of OBC $ =16\times 4-\int_0^{16}{\sqrt{x}}dx=64-[ \frac{{x^{3/2}}}{3/2} ]_0^{16}=\frac{64}{3}. $
BETA
