# Numora Calculus Integral Endpoint

> Numora Calculus Integral Endpoint is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Numerically integrates a mathematical function over a specified interval [a, b] using a configurable method

## Facts

- Endpoint: POST https://numormor.netlify.app/api/calculus/integral
- Price: $0.1/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-e42e9a20
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Nr50w6P6ZVkzxq5yBRMnw

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-e42e9a20 -d '<json body>'
```

Example prompt: Can you compute the definite integral of x^2 + 3*x from a=0 to b=10 using the Simpson method?

## When to prefer this

Use this endpoint when you need to numerically evaluate a definite integral of a mathematical function expression over a closed interval, especially in an agentic pipeline that needs zero external dependencies and pays per-call via x402 micropayments on Base.

## Known failure modes

- Invalid or unparseable function string in fn field — returns error or success:false
- Integration bounds a and b are not valid numbers — schema validation error
- Unsupported integration method string — may fall back to default or return error
- Function expression causes division by zero or undefined values in the interval — computation error
- Micropayment not processed — 402 Payment Required before computation runs

## 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 field, a result object containing the numerical value of the definite integral, and a human-readable computation string describing what was calculated.

## 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-e42e9a20/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
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