Home
Class 12
MATHS
Area bounded by y^(2)=x, y=0, x=1, x=4 i...

Area bounded by `y^(2)=x, y=0, x=1, x=4` is

A

`(14)/(3)` sq units

B

`(3)/(28)` sq unit

C

`(8)/(3)` sq units

D

`(4)/(3)` sq units

Text Solution

Verified by Experts

The correct Answer is:
A
Required area `=int_(0)^(4)ydx=int_(1)^(4)sqrt(x)dx`
`[(2)/(3)x^(3//2)]_(1)^(4)=(2)/(3)[8-1]=(14)/(3)` sq units
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2|34 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|21 Videos

Similar Questions

Explore conceptually related problems

The area bounded by y=4-x^(2),y=0 and y=3 is

The area of the figure bounded by y=e^(x-1),y=0,x=0 and x=2 is

The area of the region bounded by y^(2)=4x, x=0, x=4 and the X-axis in the first quadrant is

The area of the region bounded by y=x^(2)+2,y=-x,x=0 and x=1 is

The area bounded by y=x^(2) and y=1-x^(2) is

The area of the region bounded by y^(2)=2x+1 and x-y-1=0 is

Area bounded by y=x^(3)-x and y=x^(2)+x is

Area bounded by (y-2)^2=x-1, x-2y+4=0 and positive coordinate axis, is

Area bounded by y = x^(2)- 2|x| and y = -1 is equal to