intergral of 3x/3x-2 dx

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- Mar 9th 2011, 07:52 PMhomerbintergrate
intergral of 3x/3x-2 dx

- Mar 9th 2011, 07:56 PMmr fantastic
- Mar 9th 2011, 07:56 PMBAdhi
$\displaystyle \frac{3x}{3x-2}=1+\frac{2}{3x-2}$

now it's easy to integrate - Mar 9th 2011, 08:00 PMhomerb
So, after that do i do u= 3x-2

du= 3 dx? or what is the next step? - Mar 9th 2011, 08:03 PMmr fantastic
- Mar 9th 2011, 08:07 PMhomerb
my answer comes to x+(2/3)ln[3x-2]+c, is that correct?

- Mar 9th 2011, 08:19 PMBAdhi
$\displaystyle x+\frac{2}{3}ln|3x-2|+c$

NOTE: differentiate and you can check your answer for yourself