Question

Find the Ar. bounded by
$y=x-x^2$ & $x-$axis

Answer 1

$A={\int }_0^{1}x-x^{2}dx$

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

$A=[\frac{1^2}{2}-\frac{1^3}{3}]A=\frac{1}{6}squnit$