1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Double Riemann Sums: Basic Problem

  1. Oct 29, 2012 #1
    1. The problem statement, all variables and given/known data
    If R = [0,4]x[-1,2], use a Riemann sum with m=2, n=3 to estimate the value of ∫∫(1-xy^2)dA. Take the sample points to be the lower right corners.

    2. Relevant equations

    3. The attempt at a solution
    2*1[f(2,-1) + f(2,0) + f(2,1) + f(4,-1) + f(4,0) + f(4,1)] = some value

    Just wondering if the setup is correct, particularly the 2 and the 1 at the beginning.


    Would the solution for the upper left corners of the rectangles be

    2*1[f(0,-1)+ f(0,0)+ f(0,1) +f(2,-1) + f(2,0) + f(2,1)]
    Last edited: Oct 29, 2012
  2. jcsd
  3. Oct 29, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Yes, that looks OK

    (0,-1) isn't the upper left corner of any rectangle. Did you accidentally do lower left?
  4. Oct 29, 2012 #3
    Yes, I think I did do lower left. I changed it and it came out to -8. Sounds close enough to me haha. Thanks a bunch for your help.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook