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Evaluate: int(1-3x)/(3x^2+4x+2)\ dx...

Evaluate: `int(1-3x)/(3x^2+4x+2)\ dx`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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