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int (1)/(x+sqrt(x^(2)+1))=dx...

`int (1)/(x+sqrt(x^(2)+1))=dx`

A

`(x)/(2)sqrt(x^(2)+1)+(1)/(2) Sinh^(-1)x-(x^(2))/(2)+c`

B

`(x)/(2)sqrt(x^(2)+1)-(1)/(2) Sinh^(-1)x-(x^(2))/(2)+c`

C

`(x)/(2)sqrt(x^(2)-1)+(1)/(2) Sinh^(-1)x-(x^(2))/(2)+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
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