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1 Mathematical Physics
The ordinates are found by substituting x = 0, 1, 2 · · · 10 in the equation
y = x
2 . Thus
area =
1
3
(0 + 4 + 8 + 36 + 32 + 100 + 72 + 196 + 128 + 324 + 100) = 333.3
In this case Simpson’s rule happens to give exactly the same result as that
from direct integration.