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The area (in sq. units ) of the region A...

The area (in sq. units ) of the region `A = { (x,y):(x - 1) [x] lt= y lt= 2 sqrtx , 0 lt= x lt= 2 ]` where [t] denotes the greatest integer function is

A

`8/3 sqrt2 - 1/2`

B

`4/3 sqrt2 + 1`

C

`8/3 sqrt2 - 1`

D

`4/3 sqrt2 - 1/2 `

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