Area of region bounded by the curve y=(1...

Area of region bounded by the curve `y=(16-x^(2))/(4)` and `y=sec^(-1)[-sin^(2)x]` (where [x] denotes the greatest ingeger function) is

A

`1/3 (4-pi)^(3//2)`

B

`8(4-pi)^(3//2)`

C

`8/3 (4 - pi)^(3//2)`

D

`8/3(4 - pi)^(1//2)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curves y=x^(2) and y=sec^(-1)[-sin^(2)x] where [.] denotes G.I.F.

The area of the region bounded by the curves y=x^(2) " and " x=y^(2) is

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

the area of region bounded by curves y^(2)=x and y=(x)/(3) is

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