Question

Use the following table to estimate ∫0 25 f(x)⁢dx. Assume that f(x) is a decreasing function....

Use the following table to estimate ∫0 25 f(x)⁢dx. Assume that f(x) is a decreasing function.

x f(x)
0 50
5 46
10 42
15 35
20 29
25 9

To estimate the value of the integral we use the left-hand sum approximation with Δx=

.

Then the left-hand sum approximation is ___ . To estimate the value of the integral we can also use the right-hand sum approximation with Δx=

Then the right-hand sum approximation is ____

.

The ___ of the left- and right sum approximations is a better estimate which is __

.

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