// multi-utility computation suite · offline · instant · precise
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math.integral-approx Calculator
Approximates a definite integral using the trapezoidal rule and compares left/right/upper/lower Riemann sums to show the approximation error. The trapezoidal rule has O(h²) error — twice as fast convergence as simple Riemann sums.
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
trapezoidal integral
Area under the curve between the specified limits. In physics: integral of velocity = displacement; integral of force over time = impulse.
Simpsons rule
Sample size or count used in the calculation.
function
The type of mathematical function or operational classification determined by the calculation.
bounds
Sample size or count used in the calculation.
intervals
Sample size or count used in the calculation.
exact (x^2 from 0-1)
Reference formula or conversion factor shown for context.