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 |(31° + 21) dt ... I. Using the trapezoidal rule complete the following. a. Estimate the integral with n = 4 steps and find an upper bound for ET. 2 |(31 + 21) dt =| (Simplify your answer.) The upper bound is (Simplify your answer.) b. Evaluate the integral directly and find ET. 2 |(3r° + 21) dt =| (Simplify your answer.) |E-|=O (Simplify your answer.) c. Use the formula (E- /(true value))x 100 to express E- 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 = (Simplify your answer.) The upper bound is (Simplify your answer.) b. Evaluate the integral directly and find Es. |(31 + 21) dt =| (Simplify your answer.) |Es =0 (Simplify your answer.) c. Use the formula (Es (true value))x 100 to express Es as a percentage of the integral's true value. % (Simplify your answer.)

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