Results 1 to 2 of 2

Math Help - Very hard area and definite integral problem

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    17

    Very hard area and definite integral problem

    I'm lost on this stuff, can someone work this problem


    [1]
    Let f(x)= x^2 and compute the Riemann sum of f over the interval [2,4], using
    a) Two subintervals of equal length (n=2).
    b) Five subintervals of equal length (n=5).
    c) Ten subintervals of equal length (n=10).

    in each case, choose the representative points to be the midpoints of the subintervals.
    d) can you guess at the area of the region under the graph of f on the interval [2,4]?




    [2]
    Repeat excercise above, choosing the reresentative points to be the right endpoints of the subintervals.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    Here's a diagram using n=10.
    Last edited by galactus; November 24th 2008 at 05:38 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] definite integral that gives area of a region
    Posted in the Calculus Forum
    Replies: 12
    Last Post: October 20th 2011, 09:58 PM
  2. Replies: 13
    Last Post: November 21st 2010, 11:09 AM
  3. A hard to crack definite integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 28th 2009, 12:02 AM
  4. Area from a definite integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 25th 2008, 01:00 PM
  5. Finding exact area with the Definite Integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 14th 2007, 11:14 PM

Search Tags


/mathhelpforum @mathhelpforum