How do you find an integral when you

can't find an integral?

Numerical Integration

Left- and Right-Hand Sums

Midpoint Sums

(midpoint sum) Error (trapezoid sum) Error

Use your calculator and the RIESUM program to

complete the table for this integral.

Is there a pattern in the error sizes?

Error Estimates for Trapezoid and Midpoint Sums

Midpoint Sums

the maximum value of the second derivative on the given interval.

In order to approximate the integral below with greatest possible error of 0.0001, how large must be if you use a:

(b) midpoint sum?(a) trapezoid sum?

http://www.math.duke.edu/education/ccp/materials/intcalc/numint/contents.html

Numeric Computation of Integrals