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int(dx)/(sqrt(3x^2-4x+2))=...

`int(dx)/(sqrt(3x^2-4x+2))=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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