Results 1 to 2 of 2

Math Help - Midpoint Rule Problem - # 2

  1. #1
    Senior Member
    Joined
    Oct 2012
    From
    USA
    Posts
    404
    Thanks
    1

    Midpoint Rule Problem - # 2

    \int{4}^{1} 9\sqrt{\ln(x)} dx

    n = 6

    Change in x = \dfrac{4 - 1}{6} = \dfrac{1}{2}

     y_{0} = 0

     y_{1} = 5.730852795

     y_{2} = 7.4929915

     y_{3} = 8.615076859

     y_{4} = 9.433323666

     y_{5} = 10.07342049

      y_{6} = 10.5966902
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jul 2014
    From
    Waterloo, ON
    Posts
    82
    Thanks
    18

    Re: Midpoint Rule Problem - # 2

    Let's see: the partition should be at 1, 1.5, 2, 2.5, 3, 3.5, 4.
    However, since you are using the midpoint, you need to find f(1.25), f(1.75), f(2.25), f(2.75), f(3.25) and f(3.75).
    Next, add them all up and multiply by the width, which is 0.5.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Midpoint Rule Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 4th 2014, 03:52 AM
  2. Midpoint Rule
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 11th 2009, 01:09 AM
  3. Matlab Simpsons Rule and Midpoint Rule
    Posted in the Math Software Forum
    Replies: 0
    Last Post: November 18th 2009, 09:27 AM
  4. Midpoint rule
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 21st 2008, 03:25 PM
  5. Midpoint Rule
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 24th 2008, 04:53 PM

Search Tags


/mathhelpforum @mathhelpforum