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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)-sqrt(2)` for all `b >1,` then `f(x)` is `sqrt(x-1)` (b) `sqrt(x+1)` `sqrt(x^2+1)` (d) `x/(sqrt(1+x^2))`

A

`sqrt(x-1)`

B

`sqrt(x+1)`

C

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

D

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

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-APPLICATION OF INTEGRALS-EXERCISE-1: CONCEPT BUILDER (TOPICWISE)
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