Exam 7: Principle of Integral Evaluation

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Evaluate Evaluate   . .

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Use n = 10 subdivisions to approximate the value of the integral Use n = 10 subdivisions to approximate the value of the integral   by Simpson's rule. by Simpson's rule.

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Evaluate 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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Use a CAS to evaluate the integral. Use a CAS to evaluate the integral.   . .

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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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Use n = 10 subdivisions to find the exact value of Use n = 10 subdivisions to find the exact value of   by the trapezoidal 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 trapezoidal 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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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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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.   =   . = Answer true or false.   =   . .

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

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Answer true or false. Answer true or false.   = ln |x<sup>2</sup> + 2| + ln |x - 4| + C = ln |x2 + 2| + ln |x - 4| + C

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Evaluate Evaluate   . .

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