Asked by Penny
                Find a Riemann Sum formula for evaluation points 
that are one-third of the way from the left endpoint to the right endpoint.
            
        that are one-third of the way from the left endpoint to the right endpoint.
Answers
                    Answered by
            bobpursley
            
    so divide the limits by n evenly spaced increments, then each f(x) will be evaluated at each 1/3*increment + xleft.
I am not certain what I can do for you more than this.
    
I am not certain what I can do for you more than this.
                    Answered by
            Steve
            
    So, with limits a and b, that will be
n-1
∑ f(a+(i + 1/3)*(b-a)/n)*(b-a)/n
i=0
    
n-1
∑ f(a+(i + 1/3)*(b-a)/n)*(b-a)/n
i=0
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