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Math Help - Lsub3 and Usub3 for function

  1. #1
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    Lsub3 and Usub3 for function

    Find L3(f) and U3(f) for the function f(x) =1/(x+1)and the interval
    [a,b] = [0,3].
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    Re: Lsub3 and Usub3 for function

    Quote Originally Posted by chizmin10 View Post
    Find L3(f) and U3(f) for the function f(x) =1/(x+1)and the interval [a,b] = [0,3].

    Please define L_3(f)~\&~U_3(f). Please give an exact definition.
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    Re: Lsub3 and Usub3 for function

    The U is the n-th upper sum for f and the L is the n-th lower sum for f.
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    Re: Lsub3 and Usub3 for function

    Quote Originally Posted by chizmin10 View Post
    The U is the n-th upper sum for f and the L is the n-th lower sum for f.
    Draw a graph. You will see that the function is decreasing on [0,3].

    That means that an upper sum is a left-hand sum and a lower sum is a right-hand sum.

    Because n=3 we have \Delta x=1.
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