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

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

A

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

B

`(2)/(3)(1+x^(2))^((3)/(2))+c`

C

`(2)/(3)x(1+x^(2))^((3)/(2))+c`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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