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int sqrt(x^(2)+ 2x+5) dx is equal to...

`int sqrt(x^(2)+ 2x+5) dx` is equal to

A

`(x+1)sqrt(x^(2)+2x+5)- 2log|x+ 1+ sqrt(x^(2)+2x+5)|+ C`

B

`(1)/(2)(x+1)sqrt(x^(2)+2x+5)- 2log|x+ 1+ sqrt(x^(2)+2x+5)|+ C`

C

`(x+1)sqrt(x^(2)+2x+5)+ 2log|x+ 1+ sqrt(x^(2)+2x+5)|+ C`

D

`(x+1)sqrt(x^(2)+2x+5)+ (1)/(2)log|x+ 1+ sqrt(x^(2)+2x+5)|+ C`

Text Solution

Verified by Experts

The correct Answer is:
B
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