A table of values of an increasing function F is shown. Use the table.pdf
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The document provides a method for estimating the integral of an increasing function based on a table of values. It calculates a lower estimate of -64 and an upper estimate of 16 for the integral from 10 to 30. The estimates utilize specific function values at given points in the interval.
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![A table of values of an increasing function F is shown. Use the table to find to find lower and
upper estimates for integral^30 _10 (x) dx.
Solution
function is increasing
x =4
lower estimate =x[f(10)+f(14)+f(18)+f(22)+f(26)]
lower estimate =4*[-12-6-2+1+3]
lower estimate =-64
============================
upper estimate =x[f(14)+f(18)+f(22)+f(26)+f(30)]
upper estimate =4*[-6-2+1+3+8]
upper estimate =16](https://image.slidesharecdn.com/atableofvaluesofanincreasingfunctionfisshown-230703060018-4e7aa7b7/85/A-table-of-values-of-an-increasing-function-F-is-shown-Use-the-table-pdf-1-320.jpg)
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A table of values of an increasing function F is shown. Use the table.pdf
- 1. A table of values of an increasing function F is shown. Use the table to find to find lower and upper estimates for integral^30 _10 (x) dx. Solution function is increasing x =4 lower estimate =x[f(10)+f(14)+f(18)+f(22)+f(26)] lower estimate =4*[-12-6-2+1+3] lower estimate =-64 ============================ upper estimate =x[f(14)+f(18)+f(22)+f(26)+f(30)] upper estimate =4*[-6-2+1+3+8] upper estimate =16