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int(dx)/(sqrt(2x^2+3x+5))=...

`int(dx)/(sqrt(2x^2+3x+5))=`

A

`(1)/(2sqrt(2))log|x+(3)/(4)+sqrt(x^2+(3x)/(2)+(5)/(2))|+c`

B

`(1)/(2sqrt(2))log|x+(3)/(2)+sqrt(x^2+(3x)/(2)+(5)/(2))|+c`

C

`(1)/(sqrt(2))log|x+(3)/(4)+sqrt(x^2+(3x)/(2)+(5)/(2))|+c`

D

`(1)/(sqrt(2))log|x+(3)/(2)+sqrt(x^2+(3x)/(2)+(5)/(2))|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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