X y 0 1 You need to find the value of the integral f(x) dx where the following data is available: 1 0.0156 2 0.0029 0.5 0.064 1.5 0.006 a) Use multiple applications of the trapezoid rule. b) Apply the composite trapezoid rule. 2.5 0.0016 3 0.001
X y 0 1 You need to find the value of the integral f(x) dx where the following data is available: 1 0.0156 2 0.0029 0.5 0.064 1.5 0.006 a) Use multiple applications of the trapezoid rule. b) Apply the composite trapezoid rule. 2.5 0.0016 3 0.001
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.1: Numerical Integration
Problem 1YT: YOUR TURN Use the trapezoidal rule with n=4 to approximate 13x2+3dx.
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Transcribed Image Text:X
y
0
1
You need to find the value of the integral f(x) dx where the following data is available:
2
0.0029
2.5
0.0016
0.5
0.064
1
0.0156
1.5
0.006
a) Use multiple applications of the trapezoid rule.
b) Apply the composite trapezoid rule.
c) Use multiple applications of Simpson's 1/3 rule.
d) Apply the composite Simpson's 1/3 rule.
e) Use multiple applications of Simpson's 3/8 rule.
3
0.001
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