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Approximate Integration (Estimating Error)

  1. Oct 8, 2008 #1
    1. The problem statement, all variables and given/known data
    Found the approximation using Trapezoidal and Midpoint Formulas using 8 rectangles.
    How do I estimate the error?

    2. Relevant equations
    [tex]\int^{1}_{0}[/tex] cos(x^2)dx

    3. The attempt at a solution
    Completely confused. I at first tried u-sub but later realized the error was far too great for my integration to be correct. Trig Identity is a no go here either.
    I see in the text it wants be to take the derivative twice in order to use a formula to determine the upper bound or lower bound error...Should I differentiate? Ugh..too many questions. Please help
  2. jcsd
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