Evaluate 8 5 ds using the trapezoidal rule and Simpson's rule. Determine 2 2 S i....

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Evaluate 8 5 ds using the trapezoidal rule and Simpson's rule. Determine 2 2 S i. the value of the integral directly. ii. the trapezoidal rule estimate for n = 4. iii. an upper bound for |ET| iv. the upper bound for ET as a percentage of the integral's true value. v. the Simpson's rule estimate for n = 4. vi. an upper bound for Es vii. the upper bound for Es as a percentage of the integral's true value. Evaluate 8 5 ds using the trapezoidal rule and Simpson's rule. Determine 2 2 S i. the value of the integral directly. ii. the trapezoidal rule estimate for n = 4. iii. an upper bound for |ET| iv. the upper bound for ET as a percentage of the integral's true value. v. the Simpson's rule estimate for n = 4. vi. an upper bound for Es vii. the upper bound for Es as a percentage of the integral's true value.

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