Exam 7: Principle of Integral Evaluation

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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 n = 10 subdivisions to approximate the value of Use n = 10 subdivisions to approximate the value of   by the midpoint approximation. Find the exact value of the integral and approximate the magnitude of the error. Express your answer to at least four decimal places. by the midpoint approximation. Find the exact value of the integral and approximate the magnitude of the error. Express your answer to at least four decimal places.

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Evaluate Evaluate   . .

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

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Evaluate Evaluate   . .

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Answer true or false. In evaluating Answer true or false. In evaluating   a good choice for u would be x<sup>8</sup>. a good choice for u would be x8.

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

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Evaluate Evaluate   . .

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Evaluate Evaluate   . .

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Answer true or false. Answer true or false.   diverges. diverges.

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Evaluate Evaluate   . .

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Answer true or false. Answer true or false.   diverges. diverges.

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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.

(Multiple Choice)
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