Question

Find the Area between the curve y=8/x and lines y=2x and x,=4

Answer 1

Step-by-step explanation:

Given curves are y

2

=8x and y=2x

Let's find out their intersection point

⇒4x

2

=8x

⇒x

2

−2x=0

⇒x(x−2)=0

⇒x=0,2

The required area is

A=

0

∫

​

2

​

(

8x

​

−2x)dx

=

0

∫

​

2

​

 

8x

​

dx−

0

∫

​

2

​

2xdx

=

8

​

×

3

2

​

×[x

3/2

]

0

2

​

−[x

2

]

0

2

​

=

3

2

8

​

​

 

8

​

−4

=

3

16

​

−4=

3

4

​

squnits