Question

Area bounded by the curve $y=x^3$, the x-axis and the ordinates $x=-2$ and $x=1$ is :

Answer 1

Required area = $\underset{-2}{\overset{1}{\int }}ydx$

$=\underset{-2}{\overset{1}{\int }}{x}^{3}dx$

$={[\frac{x^4}{4}{]}_{-2}}^1$

$=\frac{1}{4}-4=-\frac{15}{4}sq.units$