Question

The area bounded by the parabola $y=x^2$ and the straight line $y=2x$ is

• A. $\frac{4}{3}$ sq. units
• B. $\frac{3}{4}$ sq. units
• C. $\frac{2}{3}$ sq. units
• D. $\frac{1}{3}$ sq. units

Answer 1

The correct option is A $\frac{4}{3}$ sq. units

${\int }_0^2(2x-x^2)dx={[\frac{2x^2}{2}-\frac{x^3}{3}]}_0^2=\frac{4}{3}$