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Riemann Sum question

  1. Oct 18, 2006 #1
    Hello, just going through some Riemann sum problems before I hit integrals and I am like 99% sure that this answer from my text is wrong but I want to make sure. It's not really an important question so if you have better things to do, help the next guy :) But checking this over would be appreciated!!

    http://img178.imageshack.us/img178/875/incorrectyp5.jpg [Broken]

    I am trying to find an approximation of the integral using a Riemann sum.

    Here is the question.

    http://img216.imageshack.us/img216/2113/incorrect2jj8.jpg [Broken]

    Why are they using 32 as the denominators for their endpoints? I have the same numerators but my denominator is 12 since [tex]\Delta x=\frac{\pi}{6}[/tex]. And for my first midpoint I would use half that.. [tex] \frac{\pi}{12}[/tex], and then add delta x again n times, right?
    Last edited by a moderator: May 2, 2017
  2. jcsd
  3. Oct 18, 2006 #2


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    It's sec(x/3).
  4. Oct 18, 2006 #3
    Sigh, how dumb of me... thanks, arg!

    If I had f()'s around my fractions I would have been fine, forgot about that. :( Thanks though, and sorry.
    Last edited: Oct 18, 2006
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