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

Text Solution

Verified by Experts

The correct Answer is:
A
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