Question

Find the area of the figure bounded by the following curves
$y$ = $x^2,$ $y=0,x=5$.

Answer 1

$\underset{parabola}{\underset{}{y=x^2}},y=0,x=5$.

Shaded region is the required area

${\int }_0^{5}ydx={\int }_0^5{x}^{2}dx=\frac{x^3}{3}{|}_0^5$

$=\frac{5^3}{3}=\frac{125}{3}$.