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1. Upper and lower sums

I tried to understand what you are asking me but i'm getting confused... again. So i asked a friend and she said: "Mi and mi are the right and left endpoints so to find its exact value, we take the i (which names the specific interval) and multiply it by the value of the subintervals (delta...
2. Upper and lower sums

ok. here is everything. i don't know if it helps. Find the upper and lower sum for the region bounded by the graphy of f(x) = x^2 and x-axis between x=0 and x=2. To begin, partition the interval [0,2] into n sublevels, each of length (triangle X) = (b-a)/n = (2-0)/n = 2/n Left endpoints...
3. Upper and lower sums

it's not a problem, but a question. Set in the interval [0,2], it asks me to explain why I need to have i minus 1 in finding the lower sum (the left endpoints) where as in finding the upper sum, it is just i.
4. Upper and lower sums

In an equation, the upper sum is Mi = 0+i(2/n) and the lower sum is mi = 0+(i-1)(2/n) So the question is why is it (i-1) for the lower sum and only i for the upper sum? Any help is highly appreciated! ^_^