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Lecture

7.7 Approximate Integration Question #1 (Easy)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
7.7 Integral Techniques Integral Approximation Question #1 (Easy): Approximating the Integral Based on the Graph Strategy Recall the approximate expression for five methods covered in the unit. Notice that no matter which approximating method is used. Sample Question The given graph illustrate∫ ( ) . 1) Find and . 2) Find and . 3) Which ones of the 5 approximations are underestimates and overestimates? 4) List these 5 approximations in increasing order. Solution The integral can be approximated as: ∫ ( ) All of them have . Since , then . 1) Since ∑ [ ( )] , so ∑ [ ( )] [ ( ) ( ) ( ) ( )] [ ] [ ] Since, ∑ [ ( ) ]
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