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Math Help - Trapezoid Rule/Simpson's Rule

  1. #1
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    Trapezoid Rule/Simpson's Rule

    Find the smallest positive integer n so that the maximum error in estimating INTcos(x^3)dx (where b=1 and a=0) by using a) the trapezoid rule, b) simpson's rule is < 1/1000. Then do a) and b) for the max error < 1/100000 on [0, 1] with f(x)=cos(x^3), lf''(x)l<15 and lf^4(x)l<423.

    is this problem even in English?? haha. thanks to he/she who helps!
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  2. #2
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    I skipped a lot of steps but here is the Simpon's rule one.
    Attached Thumbnails Attached Thumbnails Trapezoid Rule/Simpson's Rule-picture23.gif  
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