// multi-utility computation suite · offline · instant · precise
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math.area-under-curve-trap Calculator
Approximates a definite integral using the composite trapezoidal rule with a user-defined number of trapezoids, showing convergence. Each trapezoid connects adjacent function values with a straight line — more trapezoids give better accuracy as O(h²).
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 Type
Reference formula or conversion factor shown for context.
Results
trapezoid integral
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.
intervals n
Sample size or count used in the calculation.
function
The type of mathematical function or operational classification determined by the calculation.
error ∝ h² (vs h⁴ for Simpson)
The difference between the computed result and the exact or true value — a measure of approximation accuracy.