CALCULO II
If each f(xi) > 0 then the area of the ith rectangle is
and the sum of the areas of the rectangles is then:
More generally, we do not require that f(xi) > 0 as we define
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Note that the Riemann sum when each xi is the right-hand endpoint of the subinterval [ai-1, ai] is
when each xi is the left-hand endpoint of the subinterval [ai-1, ai] is
and when each xi is the left-hand midpoint of the subinterval [ai-1, ai] is
.
