Topic 13.1: Trapezoidal Rule (Examples)

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Example 1.

Use the trapezoidal rule to approximate the integral of f(x) = x3 on the interval [1, 2].

½(f(1) + f(2))(2 − 1) = 4.5

The actual value of the integral is 3.75 .

Example 2.

Use the trapezoidal rule to approximate the integral of f(x) = e-0.1 x on the interval [2, 5].

½(f(2) + f(5))(5 − 2) = 2.137892120

The actual value of the integral is 2.122000934 .

Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.