Definite Integration Question 298
Question: The area bounded by the curves $ y^{2}-x=0 $ and $ y-x^{2}=0 $ is
[MP PET 1997]
Options:
A) $ \frac{7}{3} $
B) $ \frac{1}{3} $
C) $ \frac{5}{3} $
D) 1
Show Answer
Answer:
Correct Answer: B
Solution:
$ \int_0^{1}{(\sqrt{x}-x^{2})dx=( \frac{{x^{3/2}}}{3/2}-\frac{x^{3}}{3} )_0^{1}=\frac{1}{3}} $ .