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If int(0)^(2) (sqrt2x - sqrt(2x- x^(2)))...

If `int_(0)^(2) (sqrt2x - sqrt(2x- x^(2))) dx= int_(0)^(1) (1- sqrt(1-y^(2))- (y^(2))/(2)) dy + int_(1)^(2) (2- (y^(2))/(2)) dy +I` then I equals

A

`int_(0)^(1) (1 + sqrt(1- y^(2))) dy`

B

`int_(0)^(1) ((y^(2))/(2)- sqrt(1- y^(2)) + 1) dy`

C

`int_(0)^(1) (1- sqrt(1- y^(2))) dy`

D

`int_(0)^(1) ((y^(2))/(2) + sqrt(1- y^(2)) + 1) dy`

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