AP EAPCET 23-Aug-2021 Shift 2 Paper

Given, curves are y=x|x|={

x2,	x≥0
−x2,	x<0

x=−1 and x=1 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=

1

∫

0

x2dx=|

x3

3

|=

1

3

Similarly, A11=

1

3

∴A=

1

3

+

1

3

=

2

3