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Riemann sum f(x,y)

  1. Mar 22, 2009 #1
    The problem says:

    evaluate 4x^2+y by breaking into four congruent subrectangles and evaluating at the midpoints, 1=<x<=5 0=<y<=2

    When i setup the rectangles these are my coordinates:

    (1,1/2),(1,3/2),(3,1/2),(3,3/2) and delta A = 2

    My answer comes out to be 168

    When i integrate the function i get 338.6

    The question then asks to compute the (riemann answer - the integral) which will be negative so im not sure if i did the riemann correctly can someone check my work and give some feedback
  2. jcsd
  3. Mar 22, 2009 #2


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    Science Advisor

    This is wrong. The midpoints of the four subrectangles are at (2, 1/2), (2, 3/2), (4,1/2), and (4, 3/2). x ranges from 1 to 5, not 0 to 4. Or were you taking the left edge rather than the midpoint?

    There is no reason why that difference cannot be negative.
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