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The following are the left, right, trapezoid, and midpoint approximations (not necessarily in that order) to che definite integral f(x)dx, where f'(x)<0 and f"(x)>0:

The following are the left, right, trapezoid, and midpoint approximations (not necessarily in that order) to che definite integral f(x)dx, where f'(x)<0 and f"(x)>0:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following are the left, right, trapezoid, and midpoint approximations (not necessarily in that order) to the definite integral f(x) dx, where f'(x)<0 and f"(x)>0: I) 3.753 II) 3.974 III) 3.669 IV) 3.532 a) Which is which? How do you know? Left Rule: Right Rule: Trapezoid Rule: Midpoint Rule: b) Find the Simpson's rule estimate for this definite integral.
Transcribed Image Text:The following are the left, right, trapezoid, and midpoint approximations (not necessarily in that order) to the definite integral f(x) dx, where f'(x)<0 and f"(x)>0: I) 3.753 II) 3.974 III) 3.669 IV) 3.532 a) Which is which? How do you know? Left Rule: Right Rule: Trapezoid Rule: Midpoint Rule: b) Find the Simpson's rule estimate for this definite integral.
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