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Integrals : Riemann Sum

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4. Let f(x) = 2x + 1 for 0 =< x =< 1. If the interval [0,1] is partitioned into 4 subintervals of equal length, then what is the smallest Riemann sum for f(x) and this partition?

A. 7/4 B. 15/8 C. 2
D. 7/2 E. 7

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A Riemann sum is found.

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The answer is A.

f(x)=2x+1 with 0<=x<=1. Then it is easy to verify that f(x) is an increasing function. We divided ...

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