The area of the region bounded by the cu...

The area of the region bounded by the curve `y=x^(3)` , and the lines , y=8 and x=0, is

A

16

B

8

C

10

D

12

Verified by Experts

The correct Answer is:

D

Required area `=underset(0)overset(8)int x dy`

`=underset(0)overset(8)y^(1//4) dy`
`=(3)/(4)[y^(4//3)]_(0)^(8)`
`=(3)/(4)xx(8^(4//3)-0)=12`

Similar Questions

Explore conceptually related problems

The area of the region bounded by the curve y=2x-x^(2) and the line y=x is

Find the area of the region bounded by the curve y=x^(2) and the line y=4

Find the area of the region bounded by the curves y=x^(3) and the lines y=x+6 and y=0

The area of the region bounded by the curve y=2x+3 ,x-axis and the lines x=0 and x=2 is

The area of the region bounded by the curve y = x ^(2) and the line y =16 is :

The area of the region bounded by the curve x=2y+3 and the lines y=1, y=-1 is

Find the area of the region bounded by the curve y-3 and the lines y=x+6 and y=0

The area of the region bounded by the curve y=e^(x) and lines x=0 and y=e is