Results 1 to 4 of 4

Math Help - Easy Integral but I keep getting it wrong

  1. #1
    Junior Member
    Joined
    Jan 2009
    Posts
    52

    Easy Integral but I keep getting it wrong

    1/(x*sqrt(x))

    I am thinking it is equal to x^(-3/2) so the integral should be

    -1/2x^(-1/2) + C but thats apparently not correct
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by TYTY View Post
    1/(x*sqrt(x))

    I am thinking it is equal to x^(-3/2) so the integral should be

    -1/2x^(-1/2) + C but thats apparently not correct
    Be careful...

    \int x^{-\frac{3}{2}}\,dx=\frac{x^{\frac{-1}{2}}}{-\frac{1}{2}}+C=\dots
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,347
    Thanks
    30
    Quote Originally Posted by TYTY View Post
    1/(x*sqrt(x))

    I am thinking it is equal to x^(-3/2) so the integral should be

    -1/2x^(-1/2) + C but thats apparently not correct
    \int x^{- \frac{3}{2}}\, dx = \frac{x^{- \frac{1}{2}}}{- \frac{1}{2}} + c = -2 x^{- \frac{1}{2}} + c

    Better.
    Last edited by Jester; February 1st 2009 at 11:01 AM. Reason: Too slow
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Jan 2009
    Posts
    52
    Quote Originally Posted by Chris L T521 View Post
    Be careful...

    \int x^{-\frac{3}{2}}\,dx=\frac{x^{\frac{-1}{2}}}{-\frac{1}{2}}+C=\dots
    crap, I multiplied instead of dividing

    what an idiot (me)

    thank you
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 27th 2010, 01:57 PM
  2. Replies: 3
    Last Post: January 17th 2010, 05:37 PM
  3. Replies: 4
    Last Post: November 12th 2009, 11:41 AM
  4. Stationary Points - easy or wrong?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 22nd 2009, 09:34 AM
  5. What's wrong with that integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 9th 2006, 06:30 AM

Search Tags


/mathhelpforum @mathhelpforum