Question

Find the area of the region bounded by parabola $y=x^2$ and $y=x$ in first quadrant.

Answer 1

Area=${\int }_0^1(x-x^2)dx$

$=[\frac{x^2}{2}-\frac{x^3}{3}{]}_0^1$

$=\frac{1}{2}-\frac{1}{3}=\frac{1}{c}$