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}} $ .