Calculus & Numerical Methods
Simpson's Rule Integration
Definite integral via Simpson's rule.
Formula
Formula
∫ab f dx ≈ (h3)(f0 + 4f1 + 2f2 + … + fn)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| f | integrand | expression / text | x | input |
| a, b | limits | real number (ℝ) | — | input |
| n | even intervals | integer (ℤ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenf(x) = sin(x), a = 0, b = 3.141592654, intervals n = 1000
Result2
Example 2
Givenf(x) = x*x, a = 0, b = 3, intervals n = 1000
Result9