Q. The area bounded by the curves $y^{2} = x$ and $y = x^{2}$ is
A) $\frac{2}{3}$ sq unit
B) 1 sq unit
C) $\frac{1}{2}$ sq unit
D) None of these
Explanation
(d)
Required area $= \int_{0}^{1}{\left( \sqrt{x} - x^{2} \right)dx}$
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$= \left\lbrack \frac{2x^{3/2}}{3} - \frac{x^{3}}{3} \right\rbrack_{0}^{1} = \left( \frac{2}{3} - \frac{1}{3} \right) = \frac{1}{3}\ sq\ unit$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.