AP EAMCET Engineering 26 Apr 2017 Shift 1 Paper

Consider the given equation.
y=x2
And
y=|x|
={

x	if‌x≥0
−x	if‌x<0

Consider the graph shown below.
Substitute x for y in the above equation.
x=x2
x(x−1)=0
x=0,1
Thus, the required area is,
Area =2‌

1

∫

0

x−x2dx
=2[

x2

2

−

x3

3

]01
=2[

1

2

−

1

3

]
=

1

3

sq units