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Numora Calculus Integral API
x402
Numora Calculus Integral API is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).
Numerically integrates a mathematical function over a specified interval using Simpson's, trapezoid, or Gauss quadrature methods
Price / call$0.1
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with a boolean success flag, a result object containing the computed numerical value of the definite integral, and a human-readable computation string describing what was calculated.
Example use cases
Physics simulation area under curve
“I need the definite integral of sin(x) from 0 to 3.14159 — use the Gauss method to evaluate it.”
Financial curve area calculation
“Calculate the integral of 0.05*e^(0.03*x) from x=0 to x=10 using the trapezoid method — I'm modeling a continuously compounding growth curve.”
Engineering load distribution integral
“Can you integrate the function 4*x^3 - 2*x + 7 from a=1 to b=8 using Simpson's rule so I can find the total load over that range?”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/calculus/integralWhen to prefer
Choose this endpoint when you need a fast, serverless numerical integration of a mathematical function over a closed interval without setting up local computation libraries. Ideal for AI agents that need on-demand calculus results with a simple API call and micropayment billing, especially when no external math backend (e.g. Wolfram, SymPy) is available in the agent's environment.
Side effects
- Invalid or unparseable function expression in fn field returns an error
- Non-numeric or missing a/b bounds cause request failure
- Unsupported method enum value rejected at schema validation
- Functions with singularities in [a,b] may produce inaccurate or undefined results
- Payment failure via x402 micropayment prevents endpoint access
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| arequired | number | |
| brequired | number | |
| fnrequired | string | |
| method | string |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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