Results 1 to 5 of 5
Like Tree1Thanks
  • 1 Post By earboth

Math Help - Anti derivative

  1. #1
    Newbie
    Joined
    Dec 2012
    From
    North Carolina
    Posts
    3

    Anti derivative

    -4 square root x/2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123

    Re: Anti derivative

    Quote Originally Posted by Adriana1226 View Post
    -4 square root x/2
    Until today I was under the impression that even in North Carolina the freedom of speech was guaranteed. Obviously I am mistaken ...

    After polishing my crystal sphere I assume that you want to determine

    \displaystyle{\int \left(-4 \cdot \sqrt{\frac x2} \right) dx}

    or

    \displaystyle{\int \left(-4 \cdot \frac{\sqrt{ x}}2 \right) dx}

    Which one do you want to do and where are your difficulties that you can't proceed?
    Thanks from a tutor
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2012
    From
    North Carolina
    Posts
    3

    Re: Anti derivative

    The first one. I know that when its square root of x it can become x^1/2 but what about when it's square root of x/2. What's the anti derivative
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    1,988
    Thanks
    734

    Re: Anti derivative

    Hint: \sqrt{\frac{x}{2}}=\frac{\sqrt{x}}{\sqrt{2}}.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member x3bnm's Avatar
    Joined
    Nov 2009
    Posts
    300
    Thanks
    16

    Re: Anti derivative

    Quote Originally Posted by Adriana1226 View Post
    -4 square root x/2
    \begin{align*}\displaystyle{\int \left(-4 \cdot \sqrt{\frac x2} \right) dx} =& \frac{(-8)\cdot(x)^{\frac{3}{2}}}{3\sqrt{2}} + C \\ =& \frac{-4\sqrt{2}\cdot(x)^{\frac{3}{2}}}{3} + C\end{align*}

    You can check the answer:

    int -4 (x/2)^(1/2) - Wolfram|Alpha
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. anti derivative?????????
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 15th 2012, 08:08 PM
  2. Anti-Derivative using u and du.
    Posted in the Calculus Forum
    Replies: 10
    Last Post: July 19th 2009, 03:31 PM
  3. Anti-Derivative
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 16th 2009, 04:30 PM
  4. Anti derivative
    Posted in the Calculus Forum
    Replies: 6
    Last Post: June 22nd 2008, 10:10 AM
  5. Anti derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 1st 2007, 03:27 PM

Search Tags


/mathhelpforum @mathhelpforum