Question

Find the area of the region bounded by the curve $y=x^2$, the x-axis, and lines $x=1$ and $x=3$.

Answer 1

$A={\int }_1^3{x}^{2}dxA={\left[\frac{x^3}{3}\right]}_1^{3}A=(\frac{27}{3}-\frac{1}{3})A=\frac{26}{3}$