Question

The area bounded by the curve y2 = 8x and the line
x = 2 is
a4/3sq.units
b)8/3
sq.units
c)16/3sq.units
d)32/3sq.units​

Answer 1

Step-by-step explanation:

Area=∫

0

16

xdy

=2∫

0

16

y

dy

=2⋅

3

2

∣

∣

∣

y

3/2

∣

∣

∣

0

16

=2⋅

3

2

[16

3/2

−0]

=2⋅

3

2

⋅[4]

3

=

3

256

sq. units