2) The trapezoidal integration rule for the integration of the function f(x) over the interval [a b] is illustrated in the figure below. Implement the trapezoidal integration rule in Python. For n subintervals the formulae for the composite trapezoidal rule are b-a h = n X, = a+ ih with i=1,...,n-1 A = +2f(X1) + 2f(X2) +... +2f(Xn-2) + 2f(Xn-1) + f(b)) n-1 %3D 1-1

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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2) The trapezoidal integration rule for the integration of the function f(x) over the interval [a b] is
illustrated in the figure below. Implement the trapezoidal integration rule in Python.
For n subintervals the formulae for the composite trapezoidal
rule are
b- a
h =
%3D
X, = a+ ih with i= 1,...,n- 1
A = ((a) + 2f(x1) + 2f(x2) +...
+2f(Xn-2) + 2f(Xn-1) +f(b)
n-1
(a) +E 2fx) + f(b)
Transcribed Image Text:2) The trapezoidal integration rule for the integration of the function f(x) over the interval [a b] is illustrated in the figure below. Implement the trapezoidal integration rule in Python. For n subintervals the formulae for the composite trapezoidal rule are b- a h = %3D X, = a+ ih with i= 1,...,n- 1 A = ((a) + 2f(x1) + 2f(x2) +... +2f(Xn-2) + 2f(Xn-1) +f(b) n-1 (a) +E 2fx) + f(b)
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