The area bounded by the x-axis, the curv...

The area bounded by the x-axis, the curve `y=f(x),` and
the lines `x=1,x=b` is equal to `sqrt(b^2+1)-sqrt(2)` for all `b >1,`
then `f(x)` is

A

(a) `sqrt(x-1)`

B

(b)`sqrt(x+1)`

C

(c) `sqrt(x^(2)+1)`

D

(d) `x/sqrt(1+x^(2))`

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The correct Answer is:

C

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