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If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),...

If `f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2):}` then `int_(0)^(2)f(x)dx` equals

A

`(2)/(3)-(1)/(7)log8`

B

`(2)/(3)+(1)/(7)log2`

C

`(1)/(42)`

D

`(2)/(3)+(1)/(7)log8`

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