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

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

A

`sqrt(1+x^(2))+tan^(-1)x+c`

B

`sqrt(1+x^(2))-log [x+sqrt(1+x^(2))]+c`

C

`sqrt(1+x^(2))+log [x+sqrt(1+x^(2))]+c`

D

`sqrt(1+x^(2))+log (secx+tanx)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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