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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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