Math1011
Fall 2000 Prelim
III-A1
Consider the function ƒ (x) = 1 / x
2
on the interval [1,2].
Write the Riemann sum for ƒ corresponding to the subdivision of
[ 1, 2] into 5 equal subintervals and the choice of left-hand endpoint
in each subinterval.
(Do not evaluate the sum!)
Without evaluating the sum above, or the definite integral
∫
2
1
2
x
dx
,
decide which of these two numbers is bigger.
Explain.

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