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Thread: Please help me go about this problem

  1. #1
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    Please help me go about this problem

    Please help me go about this problem and how I should start it

    f(x) = x^2 and Pn ={0,1/n,2/n,3/n,...,1}. Compute L(f,Pn) and U(f,Pn)


    thank you
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  2. #2
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    Re: Please help me go about this problem

    Quote Originally Posted by aris27 View Post
    Please help me go about this problem and how I should start it
    f(x) = x^2 and Pn ={0,1/n,2/n,3/n,...,1}. Compute L(f,Pn) and U(f,Pn)
    Because $x^2$ is a increasing function on $[0,1]$ a lower sum is a left-hand sum:$\sum\limits_{k = 0}^{N - 1} {{{\left( {\frac{k}{N}} \right)}^2}\left( {\frac{1}{N}} \right)} $

    Likewise an upper sum is a right-hand sum.
    Last edited by Plato; Dec 1st 2017 at 08:00 PM.
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