Results 1 to 7 of 7

Math Help - intergrate

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    46

    intergrate

    intergral of 3x/3x-2 dx
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by homerb View Post
    intergral of 3x/3x-2 dx
    Note that \displaystyle \frac{3x}{3x - 2} = \frac{(3x - 2) + 2}{3x - 2} = 1 + \frac{2}{3x - 2}.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member BAdhi's Avatar
    Joined
    Oct 2010
    From
    Gampaha, Sri Lanka
    Posts
    252
    Thanks
    6
    \frac{3x}{3x-2}=1+\frac{2}{3x-2}

    now it's easy to integrate
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Oct 2008
    Posts
    46
    So, after that do i do u= 3x-2
    du= 3 dx? or what is the next step?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by homerb View Post
    So, after that do i do u= 3x-2
    du= 3 dx? [snip]
    Yes.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Oct 2008
    Posts
    46
    my answer comes to x+(2/3)ln[3x-2]+c, is that correct?
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Senior Member BAdhi's Avatar
    Joined
    Oct 2010
    From
    Gampaha, Sri Lanka
    Posts
    252
    Thanks
    6
    x+\frac{2}{3}ln|3x-2|+c

    NOTE: differentiate and you can check your answer for yourself
    Last edited by BAdhi; March 9th 2011 at 08:21 PM. Reason: code error
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to intergrate this?
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: May 13th 2010, 06:23 AM
  2. intergrate (x^2-2x+4)/x
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 11th 2008, 07:32 PM
  3. intergrate
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 4th 2008, 08:42 AM
  4. Intergrate
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 3rd 2008, 06:18 PM
  5. Intergrate sin(x^2) or cos(x^2)?
    Posted in the Calculus Forum
    Replies: 8
    Last Post: October 6th 2007, 11:38 PM

Search Tags


/mathhelpforum @mathhelpforum