# Answer to Question #1916 in Calculus for Bujju

Question #1916

A table of values of an increasing function f is shown.

0 5 10 15 20 25

-44 -37 -23 -7 17 35

Use the table to find lower and upper estimates for the integral I.

I = ______________(lower estimate)

I = ______________(upper estimate)

0 5 10 15 20 25

-44 -37 -23 -7 17 35

Use the table to find lower and upper estimates for the integral I.

I = ______________(lower estimate)

I = ______________(upper estimate)

Expert's answer

We can find lower and upper estimates in such way:

Delta x = 5

Upper:& {-37 + (-23) + (-7) + 17 + 35}*5& = -75

Lower:& {-44+(-37) + (-23) +(-7) + 17}*5& = -470

Delta x = 5

Upper:& {-37 + (-23) + (-7) + 17 + 35}*5& = -75

Lower:& {-44+(-37) + (-23) +(-7) + 17}*5& = -470

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