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a) Given the curve y = f(x) as in Figure 1. y i. ii. iii. 3 2 -1- 0 1 f(x) = 2 (3 + x) (1+x²) 3 Trapezoidal rule Simpson's 1/3 rule Simpson's 3/8 rule with N-6. Do calculations in 4 decimal points. 4 Figure 1 Approximate the area under the curve y in the domain x = 0 to x = 3 using: 2

a) Given the curve y = f(x) as in Figure 1. y i. ii. iii. 3 2 -1- 0 1 f(x) = 2 (3 + x) (1+x²) 3 Trapezoidal rule Simpson's 1/3 rule Simpson's 3/8 rule with N-6. Do calculations in 4 decimal points. 4 Figure 1 Approximate the area under the curve y in the domain x = 0 to x = 3 using: 2

Advanced Engineering Mathematics
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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a) Given the curve y = f(x) as in Figure 1. y i. ii. iii. 3 2 -1- 0 1 f(x) = 2 (3 + x) (1+x²) 3 Trapezoidal rule Simpson's 1/3 rule Simpson's 3/8 rule with N=6. Do calculations in 4 decimal points. 4 Figure 1 Approximate the area under the curve y in the domain x = 0 to x = 3 using: 2
Transcribed Image Text:a) Given the curve y = f(x) as in Figure 1. y i. ii. iii. 3 2 -1- 0 1 f(x) = 2 (3 + x) (1+x²) 3 Trapezoidal rule Simpson's 1/3 rule Simpson's 3/8 rule with N=6. Do calculations in 4 decimal points. 4 Figure 1 Approximate the area under the curve y in the domain x = 0 to x = 3 using: 2
b) Use Romberg integration to approximate: 4.0 S 0.0 3x 1 + x² dx Compute the Romberg table until R33. Do calculations in 4 decimal points.
Transcribed Image Text:b) Use Romberg integration to approximate: 4.0 S 0.0 3x 1 + x² dx Compute the Romberg table until R33. Do calculations in 4 decimal points.
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