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9.1

basic integration question using simpsons rule

Asked by andieje in Math & Science

Hi

The question is, Find an approximate area for the value between the x axis and the curve y =(x-1)(x-4) using Simpson's rule and 3 ordinates

The value between the curve and x axis is in the negative y plane from x =1 to x = 4. To get 3 ordinates i need 2 strips so i divide the area from x = 1 to x = 4 into 2 strips of 1.5 units in width. This gives

y0 is x = 1, which = 0
y1 is x = 2.5, which = -2.25
y3 is x = 4, which = 0

If you then use the formula A = 1/3d[{y0 + yn} + 4{y1 + y3} + 2{y2+y4+....}]

you get A = 1/3 * 1[{0+0} + 4{-2.25}]

answer = -3, or 3

The answer should be 4

Thanks
[+][-]10/31/09 08:39 AM, ID: 25710160Accepted Solution

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[+][-]10/31/09 09:28 AM, ID: 25710334Author Comment

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[+][-]10/31/09 10:42 AM, ID: 25710645Expert Comment

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[+][-]10/31/09 12:38 PM, ID: 25711204Author Comment

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