The area bounded by the curve $t=x|x|, $ x-axis and the ordinates $x=-1 $ and $ x=1 $ is given by :
Answer & explanation
Correct answer: option 3
By symmetry
area of region I = area of region II
= 2 × area of region II
$=2×\int\limits_0^1x^2dx$
$=2×\left[\frac{x^2}{3}\right]_0^1$
$=\frac{2}{3}$ sq. units