The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's rule. Complet
Posted: Thu Jul 14, 2022 4:47 pm
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I. Using the trapezoidal rule complete the following. a. Estimate the integral with n=4 steps and find an upper bound for ∣ET∣. ∫02(4t3+3t)dt= (Simplify your answer.) The upper bound is (Simplify your answer.) b. Evaluate the integral directly and find ∣ET∣. ∫n2(4t3+3t)dt=
∣ET∣= (Simplify your answer.) c. Use the formula ( ∣ET∣/ (true value)) ×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= (Simplify your answer.) The upper bound is (Simplify your answer.)
The upper bound is (Simplify your answer.) b. Evaluate the integral directly and find ∣ES∣. ∫02(4t3+3t)dt= (Simplify your answer.) ∣E8∣= (Simplify your answer.) c. Use the formula (∣ES∣/( true value ))×100 to express ∣ES∣ as a percentage of the integral's true value.