KEAM 2021 Math Solved Paper

The graph of the curves y=x2 is represented asand the graph of the curve y=sqrt‌x is represented asThe area bounded by the two curves can be represented as The intersecting point of the curve can be determined by solving both equations.
y‌‌=y4
y4−y‌‌=0
y(y3−1)‌‌=0
Either y=0 or y=1
If, y=0, then x=0 and if, y=1, then x=1
Area of the bounded region
=

1

∫

0

(√x−x2)dx
=[‌

2

3

x3∕2−‌

x3

3

]01
=‌

2

3

−‌

1

3

=‌

1

3

square units