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Express the integral as a limit of sums.

  1. May 31, 2009 #1
    1. The problem statement, all variables and given/known data

    Express the integral as a limit of sums. Use right endpoints. Do not evaluate the limit.
    [tex]\int[/tex]sin(x[tex]^{4}[/tex]dx from 0 to 6
    2. Relevant equations

    [tex]\sum[/tex]f(xi)[tex]\Delta[/tex]x

    3. The attempt at a solution

    What I'm unsure of here is what exactly the question is asking. How far do I go? Is simply saying that Lim x --> [tex]\infty[/tex][tex]\sum[/tex]sin(2i/n)[tex]^{2}[/tex] sufficient?
     
  2. jcsd
  3. May 31, 2009 #2
    From the fact that it mentions "use right endpoints", it is asking you for the general form of a Riemann sum of the integrand over a rectangular partition of the interval [0, 6].
     
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