Question

The area bounded by the curve $y={(x-1)}^2,={(x+1)}^2$ and the $x-axis$ is

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $\frac{4}{3}$
• D. $\frac{8}{3}$

Answer 1

Answer: (B)

$\frac{2}{3}$

$A=2{\int }_0^1{(x-1)}^{2}dxA={\left[\frac{{(x-1)}^3}{3}\right]}_0^1$

$A=2[0-\frac{-1}{3}]$

$A=\frac{2}{3}squnits$