Exam 7: Principle of Integral Evaluation
Exam 1: Limits and Continuity186 Questions
Exam 2: The Derivative198 Questions
Exam 3: Topics in Deifferentiation171 Questions
Exam 4: The Derivative in Graphing and Applications656 Questions
Exam 5: Integration323 Questions
Exam 6: Applications of the Definite Integral in Geometry, Science and Engineering314 Questions
Exam 7: Principle of Integral Evaluation269 Questions
Exam 8: Mathematical Modeling With Differential Equations77 Questions
Exam 9: Infinte Series288 Questions
Exam 10: Parametric and Polar Curves; Conic Sections199 Questions
Exam 11: Three-Dimensional Space; Vectors173 Questions
Exam 12: Vector-Valued Functions147 Questions
Exam 13: Partial Derivatives194 Questions
Exam 14: Multiple Integrals117 Questions
Exam 15: Topics in Vector Calculus149 Questions
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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.

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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.

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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.

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

(Multiple Choice)
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Find the area of the region bounded by the curve
, and the x-axis for 4 x 8.

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