The area enclosed by the curves y=x|x| , x=-1 and x=1 is.......... sq units.

Step-by-step solution

Given, curves are y=x|x|= array cc x^2 & ; x 0 -x^2 & ; x We have plotted the figure and shaded regions are the area enclosed by the curves and area of 1 first part = Area of II second part. A₁= ₀^1 x^2 d x= [ x^3 3 ]₀^1= 1 3 Similarly, A₁₁= 1 3 A= 1 3 + 1 3 = 2 3