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The area bounded by the X-axis, the cure...

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

A

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

B

`sqrt(x+1)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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