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Let int(dx)/(sqrt(x^(2)+1)-x)=f(x)+C suc...

Let `int(dx)/(sqrt(x^(2)+1)-x)=f(x)+C` such that f(0)=0 and C is the constant of integration, then the value of `f(1)` is

A

`(1)/(sqrt2)+(1)/(2)ln(1+sqrt2)`

B

`(1)/(2)+(1)/(sqrt2)ln(1+sqrt2)`

C

`(1)/(2)+(1)/(2)lnsqrt2+1`

D

`(1)/(sqrt2)+(1)/(2)(1+ln(1+sqrt2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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