• 7102 Upper & Lower Sum
ᐥThe upper sum of a function f relative to a partition P is defined by ｢sup(f(x))ƧP[a,b]｣
The lower sum of a function f relative to a partition P is defined by ｢inf(f(x))ƧP[a,b]｣.ᐥ
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U(P) = ｢S⸤i⸥(x⸤i⸥−x⸤i−1⸥) Σi=0,n｣
where S⸤i⸥ = sup{f(x):x⸤i−1⸥≤x≤x⸤i⸥}
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