Exam 7: Principle of Integral Evaluation

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Evaluate Evaluate   . .

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Evaluate Evaluate   . .

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Use n = 10 to approximate the integral by the midpoint rule. Use n = 10 to approximate the integral by the midpoint rule.

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Evaluate Evaluate   . .

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Evaluate Evaluate   . .

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...

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Answer true or false. In evaluating Answer true or false. In evaluating   a good choice for u would be cos x. a good choice for u would be cos x.

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Evaluate Evaluate   . .

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Use Endpaper Tables to evaluate Use Endpaper Tables to evaluate   . .

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Write out the partial fraction decomposition of Write out the partial fraction decomposition of   . .

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Evaluate Evaluate   . .

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Evaluate Evaluate   . .

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Use inequality (12) to find an upper bound on the magnitude of the error for the approximate value of Use inequality (12) to find an upper bound on the magnitude of the error for the approximate value of   found by Simpson's rule using 2n = 10. found by Simpson's rule using 2n = 10.

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Evaluate Evaluate   . .

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Use Simpson's Rule with n = 10 to approximate the integral. Use Simpson's Rule with n = 10 to approximate the integral.

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Evaluate Evaluate   . .

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Evaluate Evaluate

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Use Endpaper Tables to evaluate Use Endpaper Tables to evaluate   . .

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Use the trapezoid rule with n = 10 to approximate the integral. Use the trapezoid rule with n = 10 to approximate the integral.

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Evaluate Evaluate   . .

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