(a) Show that the area of the trapezoid in Fig. 13(a) is 1/2((h + k). (b) Show...
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(a) Show that the area of the trapezoid in Fig. 13(a) is 1/2((h + k)∫.
(b) Show that the area of the first trapezoid on the left in Fig. 13(b) is 1/2 [f(a0) + f (a1)]Δx.
(c) Derive the trapezoidal rule for the case n = 4.
Transcribed Image Text:
h 1 k IM -Ax- xAx▬▬▬▬▲xAx a = ao a1 a2 az a4 = b (a) (b) Figure 13 Derivation of the trapezoidal rule. y = f(x)
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Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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