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: Riemann Sum Approximation

  1. Nov 11, 2013 #1


    User Avatar
    Gold Member

    1. The problem statement, all variables and given/known data


    2. Relevant equations

    The area can be approximated by using the sum of the areas of the rectangles. Area of rectangle = change in x * y (given by f(x)).

    3. The attempt at a solution

    I've taken calculus I, II, and diff eqs., but I haven't done this for a while. I'm doing it mostly from intuition and memory.

    My x-values are 0, 0.5, 1, and 1.5. This gives me the x-values for a left-handed approximation since I'm not going up to 2.

    My y-values are therefore 6, 3, 2, and 3/2.

    0.5(6) + 0.5(3) + 0.5(2) + 0.5(3/2) = 3 + 3/2 + 1 + 3/4 = 25/4.
  2. jcsd
  3. Nov 11, 2013 #2


    Staff: Mentor

    That is correct.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted