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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) - sqrt2` for all `b gt 1`, then f(x) is

A

`sqrt(x-1)`

B

`sqrt(x+1)`

C

`sqrt(x^2 + 1)`

D

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

Text Solution

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The correct Answer is:
D
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