Use the Composite Trapezoidal rule with the indicated values of n to approximate the following integrals. a. C. x lnx dx. n = 4 2 (²² K dx, n = 6 sin 3x dx, n=8 dx, n=8 b. d. f. h. x'e' dx, n=4 Lxe de [x² cos x dx. n = 6 dx, n=8 X x²+4 3m/8 tan x dx. n=8

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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please look at the page have hand writing in orange color, (only a, d and f parts)

Q1) Write a code for the composite Simpson's rule and apply the code on Q1) a, d, f page 210 on the book.
(the algorithm of composite Simpson's rule can be found on page 206).
Solve this
only
Transcribed Image Text:Q1) Write a code for the composite Simpson's rule and apply the code on Q1) a, d, f page 210 on the book. (the algorithm of composite Simpson's rule can be found on page 206). Solve this only
Use the Composite Trapezoidal rule with the indicated values of n to approximate the following
integrals.
a.
C.
e.
g.
S²
S²
x lnx dx, n = 4
2
dx., n = 6
e²¹ sin 3x dx, n = 8
Sdr.
dx, n=8
b.
d.
f.
h.
x³e¹ dx, n=4
["x² cos x dx. n = 6
dx, n=8
S
X
x²+4
tan x dx. n = 8
Transcribed Image Text:Use the Composite Trapezoidal rule with the indicated values of n to approximate the following integrals. a. C. e. g. S² S² x lnx dx, n = 4 2 dx., n = 6 e²¹ sin 3x dx, n = 8 Sdr. dx, n=8 b. d. f. h. x³e¹ dx, n=4 ["x² cos x dx. n = 6 dx, n=8 S X x²+4 tan x dx. n = 8
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