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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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