9.9 The area of the shaded region shown in the figure can be calculated by: 4 = 1³² (-3²x²2+5) dx = 20 Evaluate the integral using the following methods: (a) Simpson's 1/3 method. Divide the whole interval into four subintervals. (b) Simpson's 3/8 method. Divide the whole interval into nine subintervals. (c) Three-point Gauss quadrature. Compare the results and discuss the reasons for the differences. ya y = -√√√x²+5 5 1-3 3 X
9.9 The area of the shaded region shown in the figure can be calculated by: 4 = 1³² (-3²x²2+5) dx = 20 Evaluate the integral using the following methods: (a) Simpson's 1/3 method. Divide the whole interval into four subintervals. (b) Simpson's 3/8 method. Divide the whole interval into nine subintervals. (c) Three-point Gauss quadrature. Compare the results and discuss the reasons for the differences. ya y = -√√√x²+5 5 1-3 3 X
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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Question
![9.9 The area of the shaded region shown in the figure can be calculated
by:
4 = 1³² (-3²x²2+5) dx = 20
Evaluate the integral using the following methods:
(a) Simpson's 1/3 method.
Divide the whole interval into four
subintervals.
(b) Simpson's 3/8 method. Divide the whole interval into nine
subintervals.
(c) Three-point Gauss quadrature.
Compare the results and discuss the reasons for the differences.
ya
y = -√√√x²+5 5
1-3
3
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bf9e081-d8d5-4f5b-9057-c58babd253b3%2F60797cb7-c602-48e1-8488-1fc037c889fb%2Fl5wekur_processed.png&w=3840&q=75)
Transcribed Image Text:9.9 The area of the shaded region shown in the figure can be calculated
by:
4 = 1³² (-3²x²2+5) dx = 20
Evaluate the integral using the following methods:
(a) Simpson's 1/3 method.
Divide the whole interval into four
subintervals.
(b) Simpson's 3/8 method. Divide the whole interval into nine
subintervals.
(c) Three-point Gauss quadrature.
Compare the results and discuss the reasons for the differences.
ya
y = -√√√x²+5 5
1-3
3
X
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