// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
math.simpsons-rule-integration Calculator
Approximates a definite integral using Simpson's rule (parabolic arcs through triplets of points), showing the O(h⁴) error. Simpson's rule is typically 10–100× more accurate than the trapezoidal rule for the same number of evaluation points.
Inputs
A
Reference formula or conversion factor shown for context.
B
Reference formula or conversion factor shown for context.
N
Reference formula or conversion factor shown for context.
Func
Reference formula or conversion factor shown for context.
Results
integral (Simpson)
Area under the curve between the specified limits. In physics: integral of velocity = displacement; integral of force over time = impulse.
exact value
The computed numeric or monetary value.
error
The difference between the computed result and the exact or true value — a measure of approximation accuracy.
function
The type of mathematical function or operational classification determined by the calculation.
intervals n
Sample size or count used in the calculation.
Simpson error ∝ h^4
The difference between the computed result and the exact or true value — a measure of approximation accuracy.