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If int(log(x+sqrt(1+x^(2))))/(sqrt(1+x^(...

If `int(log(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx =(gof)(x)+c` then

A

`f(x)=log(x+sqrt(x^(2)+1))and g(x)=k`

B

`f(x)=log(x+sqrt(x^(2)+1))and g(x)=x^(2)`

C

`f(x)=log(x+sqrt(x^(2)+1))and g(x)=(x^(2))/(2)`

D

`g(x)=log(x+sqrt(x^(2)+1))and f(x)=(x^(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
3
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