The area of the smaller region in which ...

The area of the smaller region in which the curve `y=[(x^(3))/(100)+(x)/(50)]` where [.] denotes the greatest integer function, divides the circles `(x-2)^(2)+(y+1)^(2)=4`, is equal to :

A

`(2 pi - 3 sqrt(3))/(2)` sq. units

B

`(3 sqrt(3) - pi)/(3)` sq. units

C

`(4 pi - 3 sqrt(3))/(3)` sq. units

D

`(5 pi - 3 sqrt(3))/(3)` sq. units

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The correct Answer is:

C

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