Exam 7: Principle of Integral Evaluation

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Answer true or false. Answer true or false.   =   . = Answer true or false.   =   . .

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Evaluate Evaluate   . .

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Answer true or false. Answer true or false.   =   . = Answer true or false.   =   . .

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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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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.   = ln |x + 5| + C = ln |x + 5| + C

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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 answers 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 answers to at least four decimal places.

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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 using 2n = 10. found by Simpson's using 2n = 10.

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Use n = 10 subdivisions to approximate the value of Use n = 10 subdivisions to approximate the value of   by Simpson's rule. Find the exact value of the integral and approximate the magnitude of the error. Express your answers to at least four decimal places. by Simpson's rule. Find the exact value of the integral and approximate the magnitude of the error. Express your answers to at least four decimal places.

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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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Find the area of the region bounded by the curve  Find the area of the region bounded by the curve   , and the x-axis for 4  \le  x  \le  8. , and the x-axis for 4 \le x \le 8.

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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.   = ln |x| + ln |x + 4| + C = ln |x| + ln |x + 4| + C

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