k is the last two digit of your student ID (For example; if student ID=110060109 k-09) Question Evaluate the following integral: (1- exp(-k* x))dr by; (a) analytically, (b) single application of the trapezoidal rule (sampling time(dx)=4), (c) composite trapezoidal rule (sampling time(dx)=2), (d) single application of Simpson's 1/3 rule (sampling time(dx)=4), (e) composite Simpson's 1/3 rule with (sampling time(dx)=2), (f) single application of Simpson's 3/8 rule (sampling time(dx)=4), (g) composite Simpson's 3/8 rule (sampling time(dx)=2). Initial integral value is zero. Trapezoidal rule f(a) + f(b) f(b) – f(a) x). b - a 1 = (b - a)' a)
k is the last two digit of your student ID (For example; if student ID=110060109 k-09) Question Evaluate the following integral: (1- exp(-k* x))dr by; (a) analytically, (b) single application of the trapezoidal rule (sampling time(dx)=4), (c) composite trapezoidal rule (sampling time(dx)=2), (d) single application of Simpson's 1/3 rule (sampling time(dx)=4), (e) composite Simpson's 1/3 rule with (sampling time(dx)=2), (f) single application of Simpson's 3/8 rule (sampling time(dx)=4), (g) composite Simpson's 3/8 rule (sampling time(dx)=2). Initial integral value is zero. Trapezoidal rule f(a) + f(b) f(b) – f(a) x). b - a 1 = (b - a)' a)
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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K=70
![k is the last two digit of your student ID (For example; if student ID = 110060109 k-09)
Question
Evaluate the following integral: (1- exp(-k * x))dr by;
(a) analytically,
(b) single application of the trapezoidal rule (sampling time(dx)=4),
(c) composite trapezoidal rule (sampling time(dx)=2),
(d) single application of Simpson's 1/3 rule (sampling time(dx)=4),
(e) composite Simpson's 1/3 rule with (sampling time(dx)=2),
(f) single application of Simpson's 3/8 rule (sampling time(dx)=4),
(g) composite Simpson's 3/8 rule (sampling time(dx)=2).
Initial integral value is zero.
Trapezoidal rule
f(a) + f(b)
f(b) – f(a)
b- a
1 = (b - a)
(x - a)
%3D
Simpson's 1/3 rule](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1be212d3-78fa-42de-b4f7-86c419868351%2Ff476c3ef-cd27-4d92-bbf2-81e897c9874a%2Fbkewqyn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:k is the last two digit of your student ID (For example; if student ID = 110060109 k-09)
Question
Evaluate the following integral: (1- exp(-k * x))dr by;
(a) analytically,
(b) single application of the trapezoidal rule (sampling time(dx)=4),
(c) composite trapezoidal rule (sampling time(dx)=2),
(d) single application of Simpson's 1/3 rule (sampling time(dx)=4),
(e) composite Simpson's 1/3 rule with (sampling time(dx)=2),
(f) single application of Simpson's 3/8 rule (sampling time(dx)=4),
(g) composite Simpson's 3/8 rule (sampling time(dx)=2).
Initial integral value is zero.
Trapezoidal rule
f(a) + f(b)
f(b) – f(a)
b- a
1 = (b - a)
(x - a)
%3D
Simpson's 1/3 rule
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