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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
20091021-EE-VQP-81 - Hierarchy / EE_QW_3_20080625