Kim L.

asked • 01/29/21

need help with math

x | 2 | 4 | 6 | 7 | 11

-----------------------------------------------------------------------------------

f(x) | 0.7 | 1.1 | 1.9 | 2.5 | 5.3



The continuous function f is known to be increasing for all x. Selected values of f are given in the table above. Let L be the left Riemann sum approximation for (top value=11)∫(bottom value=2) f(x) dx using the four subintervals indicated by the table. Which of the following statements is true?


a) L=13.95 and is an underestimate for 11∫2f(x)dx.


b) L=13.95 and is an overestimate for 11∫2f(x)dx.


c) L=15.5 and is an underestimate for 11∫2f(x)dx.


d) L=15.5 and is an overestimate for 11∫2f(x)dx.

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