Evaluate the following integral: π/2 I= (8 + 4 cos x.) dx ■. Analytically ». Using the MATLAB function, integral . Single application of Trapezoidal rule (using n = 1) 1. Composite Trapezoidal rule using n = 4 segments

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate the following integral:
I
rπ/2
(8 + 4 cos x.) dx
a. Analytically
b. Using the MATLAB function, integral
c. Single application of Trapezoidal rule (using n = 1)
d. Composite Trapezoidal rule using n = 4 segments
e. Single application of Simpson's 1/3 rule
f. Single application of Simpson's 3/8 rule
g. Composite Simpson's 1/3 rule using n = 4 segments
h. Simpson's 1/3 and 3/8 rule in tandem using n = 5 segments
Transcribed Image Text:Evaluate the following integral: I rπ/2 (8 + 4 cos x.) dx a. Analytically b. Using the MATLAB function, integral c. Single application of Trapezoidal rule (using n = 1) d. Composite Trapezoidal rule using n = 4 segments e. Single application of Simpson's 1/3 rule f. Single application of Simpson's 3/8 rule g. Composite Simpson's 1/3 rule using n = 4 segments h. Simpson's 1/3 and 3/8 rule in tandem using n = 5 segments
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