/Tag: Simpson's Rule
3 08, 2016

Simpson’s Rule Logs

By |2016-11-03T09:25:27+10:00August 3rd, 2016|Tags: , , , , , |0 Comments

Simpson's Rule Logs worked examples Use Simpson's Rule with three function values to obtain the approximation $$\int\limits_1^7 {\left( {\frac{{x - 1}}{6}} \right)} \ln \,x\,\,dx \approx \ln \,\,112$$.  $$h=\frac{7-1}{2}$$ h = 3 values will be 1, 4, 7  find the 3 function values: $$h=\frac{b-a}{n}$$  where n = number of sub [...]

12 08, 2015

Simpson’s Rule

By |2016-11-03T12:51:33+10:00August 12th, 2015|Tags: , , |0 Comments

Simpson's Rule ≈ h/3{f(a) + f(b) + 4(sum of odd) + 2(sum of even)} worked examples Use the table of values to find the approximation to $$\int\limits_{1}^{3} {f(x)\,dx}$$ by using Simpson's Rule.  x 1.0 2.0 3.0  f(x) 6.6 4.8 5.4 a 1 b h = 1 find the [...]

12 08, 2015

Simpson’s Rule

By |2016-11-04T20:09:07+10:00August 12th, 2015|Tags: , , , , |0 Comments

Simpson's Rule h/3{f(a) + f(b) + 4(sum of odds) + 2(sum of evens)} worked examples The length of one arch of the curve y = sin x is given by $$\int\limits_0^{\pi } {\sqrt{1+\cos^2\,x}\;dx}$$. Find the approximate length using Simpson's rule with three function values. $$0,\;\frac{\pi}{2},\;\pi$$ find the three [...]

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