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Method and examples
Numerical Integration using
Trapezoidal, Simpson 1/3, Simpson 3/8 Rule
Method

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Find
1.  x 1.4 1.6 1.8 2 2.2 f(x) 4.0552 4.953 6.0436 7.3891 9.025

2.  x 0 0.1 0.2 0.3 0.4 f(x) 1 0.9975 0.99 0.9776 0.8604

3.  x 0 0.25 0.5 0.75 1 f(x) 1 0.9896 0.9589 0.9089 0.8415

4.  x 7.47 7.48 7.49 7.5 7.51 7.52 f(x) 1.93 1.95 1.98 2.01 2.03 2.06

 f(x) = x1 = and x2 = Step value (h) =  OR  Interval (N) = Find  1. All Methods 2. Trapezoidal 3. Simpson 1/3 4. Simpson 3/8 f(x)=2x^3-4x+1x1 = 2 and x2 = 4Step value (h) = 0.5 or N = 5f(x)=2x^3-4x+1x1 = 2 and x2 = 4Step value (h) = 0.25 or N = 8f(x)=1/xx1 = 0 and x2 = 1Step value (h) = 0.25 or N = 5f(x)=1/(x+1)x1 = 0 and x2 = 1Step value (h) = 0.25 or N = 5
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