1000 Solved Problems in Modern Physics

86 1 Mathematical Physics

The ordinates are found by substitutingx = 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.