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Lecture

7.7 Approximate Integration Question #4 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
7.7 Integral Techniques Integral Approximation Question #4 (Medium): Integral Approximation & Error Bound Using the Midpoint Rule Strategy ( ) The error bounds are given by: | | , where , and | ( ) | for the Midpoint ( ) Rule. Similarly for Trapezoidal Rule: | | , where , and | ( )| . Notice that only the denominator is slightly different. As for Simpson’s Rule: | | ( ) , where , and | ( )( ) | , meaning the fourth derivative of the function is bound by factor. Usually the question provides these input values in order to calculate the error bounds. Sample Question 1) Given the dataset, estimate the value of the integral ∫ ( ) using the Mi
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