Numerical Integration

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Trapezoidal Code (p.3) double FUN(double x) // User supplied function { return 0.2 + 25*x - 200*x*x + 675*x*x*x - 900*x*x*x*x + 400*x*x*x*x*x; } int main() { <strong>Integration</strong> I(FUN,0,0.8); 0 int i; for(i=1;i
Trapezoidal Code -Output n=1, I=0.1728 n=2, I=1.0688 n=3, I=1.36957 n=4, I=1.4848 n=5, I=1.53988 n=6, I=1.57027 n=7, I=1.58874 n=8, I=1.6008 n=9, I=1.60909 n=10, I=1.61504 n=11, I=1.61945 n=12, I=1.62281 n=13, I=1.62542 n=14, I=1.6275 n=15, I=1.62918 n=16 16, I=1 1.63055 © 2003-2006 Roberto Muscedere 17
Page 1 and 2: Numerical Integration • Newton-Co
Page 3 and 4: Trapezoidal Rule • Trapezoidal Ru
Page 5 and 6: Trapezoidal Rule • Same result if
Page 7 and 8: Trapezoidal Rule: Example f (0) = 0
Page 9 and 10: Trapezoidal Rule • Add a series o
Page 11 and 12: • Grouping the terms: Trapezoidal
Page 13 and 14: Trapezoidal Rule: Example f (0) = 0
Page 15: Trapezoidal Code (p.2) double Integ
Page 19 and 20: Simpson’s 1/3 Rule ( x − x1 )(
Page 21 and 22: Simpson’s 1/3 Rule: Example • N
Page 23 and 24: Simpson’s 1/3 Rule • Add a seri
Page 25 and 26: Simpson’s 1/3 Rule • Grouping t
Page 27 and 28: I f Simpson’s 1/3 Rule: Example (
Page 29 and 30: Simpson’s 1/3 Code (p.2) double I
Page 31 and 32: Simpson’s 1/3 Code (p.4) double F

Numerical Integration

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