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int sqrt(1+x^(2))dx is equal to...

`int sqrt(1+x^(2))dx` is equal to

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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