Results 1 to 2 of 2

Thread: Area between the graph of the function and x-axis

  1. #1
    Junior Member
    Joined
    Mar 2011
    Posts
    31

    Area between the graph of the function and x-axis

    Determine a so the area between the graph of the function and the x-axis is $\displaystyle \frac{100}{3}$:

    $\displaystyle f(x)=|x^2-a^2|$


    $\displaystyle a\in \left[ 0,10 \right]$

    $\displaystyle 0\leq x\leq 10$


    So i thought it would be good to use integrals.

    $\displaystyle f(x)=-x^2+a^2$ , when $\displaystyle x^2+a^2<0$
    $\displaystyle f(x)=x^2-a^2$ , when $\displaystyle x^2+a^2\geq0$

    But how do i get the interval for the integrals?

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,776
    Thanks
    2823
    Awards
    1
    Quote Originally Posted by mechaniac View Post
    Determine a so the area between the graph of the function and the x-axis is $\displaystyle \frac{100}{3}$:
    $\displaystyle f(x)=|x^2-a^2|$
    $\displaystyle a\in \left[ 0,10 \right]$
    $\displaystyle 0\leq x\leq 10$
    That is equivalent finding $\displaystyle a$ so that $\displaystyle \int_0^a {\left( {a^2 - x^2 } \right)dx = \frac{{50}}
    {3}} $
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: Oct 3rd 2010, 03:48 PM
  2. Finding the area of a function and graph?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Dec 19th 2009, 01:23 PM
  3. Replies: 0
    Last Post: Aug 3rd 2009, 10:18 PM
  4. Replies: 3
    Last Post: May 1st 2009, 09:04 AM
  5. Replies: 1
    Last Post: Nov 18th 2008, 07:40 PM

Search Tags


/mathhelpforum @mathhelpforum