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If the area bounded by the x-axis, the curve `y=f(x), (f(x)gt0)" and the lines "x=1, x=b " is equal to "sqrt(b^(2)+1)-sqrt(2)" for all "bgt1,` then find f(x).

A

`sqrt((x-1))`

B

`sqrt((x+1))`

C

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

D

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

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The correct Answer is:
D
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MOTION-AREA UNDER THE CURVE-EXERCISE - 2 (LEVEL-I)
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