Work Sheet 3
Numerical Methods
Subjects: Simpson’s Rule
3
2
1. Verify Simpson’s Rule using the cubic y = x + 2x − 5x − 2 on the
interval [0, 2].
2. Find the approximation of integral ∫
−5
π
2
x cos xdx by Simpson rule
0
such that the error be less than 10 .
2
x
3. Find the approximate value of ∫1 xe dx by Simpson’s rule such
−3
that the error be less than 10 ?
4. Using the Simpson’s rule to integrate f (x) =
to 2 with h = 1 and find ϵ h .
2
End
1
1 4
x
π
cos 14 πx from 0