# Numora Calculus Integral Endpoint

> Numora Calculus Integral Endpoint is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/call, status unknown (last checked 2026-09-14).

Computes the definite integral of a mathematical function over a specified interval [a, b] using numerical methods

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/calculus/integral
- Price: $0.04/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-integral-endpoint-f7f78cbd
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_31HnNEkvwFkLn3i-aDfxH

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-calculus-integral-endpoint-f7f78cbd -d '<json body>'
```

Example prompt: Calculate the definite integral of sin(x) from 0 to 3.14159 using the trapezoid method and give me the result.

## When to prefer this

Use this endpoint when you need a quick, dependency-free numerical definite integral computation without setting up a local math library. Ideal for AI agents needing calculus results on demand with x402 micropayment billing, especially when the integrand is expressible as a string formula and bounds are finite real numbers.

## Known failure modes

- Invalid or unparseable function expression in fn field returns an error
- Bounds a and b where a > b may return zero or an error depending on implementation
- Unsupported integration method string causes failure or fallback
- Non-numeric values for a or b cause schema validation failure
- Very large or unbounded intervals may produce inaccurate results or timeout

## 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

A JSON object with a success boolean, a result object containing the computed integral value, and a human-readable computation string describing what was calculated (e.g. 'Definite integral of sin(x) from 0 to pi ≈ 2.0').

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "a",
  "b",
  "fn"
 ],
 "properties": {
  "a": {
   "type": "number"
  },
  "b": {
   "type": "number"
  },
  "fn": {
   "type": "string"
  },
  "method": {
   "enum": [
    "simpson",
    "trapezoid",
    "gauss"
   ],
   "type": "string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-calculus-integral-endpoint-f7f78cbd/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)