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Area bounded between the curve x^(2)=y a...

Area bounded between the curve `x^(2)=y` and the line y = 4x is

A

`(32)/(3)` sq units

B

`(1)/(3)` sq unit

C

`(8)/(3)` sq units

D

`(16)/(3)` sq units

Text Solution

Verified by Experts

The correct Answer is:
A
Given curves are `x^(2)=y` and y = 4x intersection points are (0, 0) and (4, 16)
`therefore` Required area `=int_(0)^(4)(4x-x^(2))dx`
`=[(4x^(2))/(2)-(x^(3))/(3)]_(0)^(4)`
`=[32-(64)/(3)]=(32)/(3)` sq units
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