Question: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's rule. Complete the following parts. 2
The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's rule. Complete the following parts. 2 |(21 + 0:) at 1. Using the trapezoidal rule complete the following. a. Estimate the integral with n= 4 steps and find an upper bound for |ET- 2 dt%3D (Simplify your answer.) The upper bound is. (Simplify your answer.) b. Evaluate the integral directly and find ET- 2 (2 + 9:) dt =O (Simplify your answer.) (Simplify your answer.) c. Use the formula (ET(true value)) x 100 to express ET as a percentage of the integral's true value. (Simplify your answer. Round to the nearest integer as needed.) II. Using Simpson's rule complete the following. a. Estimate the integral with n= 4 steps and find an upper bound for Es- s-0 (Simplify your answer.) The upper bound is (Simplify your answer.) b. Evaluate the integral directly and find Es. 2 [(2 - 9:) dt =O (Simplify your answer.) (Simplify your answer.) c. Use the formula (Es(true value)) x 100 to express Es as a percentage of the integral's true value. Enter your answer in each of the answer boxes.
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