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
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Chapter2: Second-order Linear Odes
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2. Trapezoid Rule
f(x) dx = [f(x0) + 2ƒ(2₁) + 2ƒ (2₂) + ... + 2ƒ (In-1) + ƒ(Zn)].
b-a
and z, = a +iAz, i = 0, 1, 2,..., n.
n
a) Write a code that uses the Trapezoid Rule with n = 10 to evaluate the integral d
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=
Transcribed Image Text:2. Trapezoid Rule f(x) dx = [f(x0) + 2ƒ(2₁) + 2ƒ (2₂) + ... + 2ƒ (In-1) + ƒ(Zn)]. b-a and z, = a +iAz, i = 0, 1, 2,..., n. n a) Write a code that uses the Trapezoid Rule with n = 10 to evaluate the integral d 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=
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