2. Trapezoid Rule f(x)dx= [(zo) + 25 (2₁) + 2ƒ (2₂) + ... + 2ƒ (2n-1) + ƒ(2₂)]. and z, = a +iAx, i = 0, 1, 2,..., n. a) Write a code that uses the Trapezoid Rule with n = 10 to evaluate the integral ² b) Compare your solution with the exact solution of 2dr = ln(2) and compute the error. c) Compute the error if n = 50. where Ar b-a n
2. Trapezoid Rule f(x)dx= [(zo) + 25 (2₁) + 2ƒ (2₂) + ... + 2ƒ (2n-1) + ƒ(2₂)]. and z, = a +iAx, i = 0, 1, 2,..., n. a) Write a code that uses the Trapezoid Rule with n = 10 to evaluate the integral ² b) Compare your solution with the exact solution of 2dr = ln(2) and compute the error. c) Compute the error if n = 50. where Ar b-a n
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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