# Numora Calculus Integral Computation

> Numora Calculus Integral Computation is a paid API for AI agents from numomo.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 [a, b] and returns the computed result

## Facts

- Endpoint: POST https://numomo.vercel.app/api/calculus/integral
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-integral-computation-c0e88274
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap__gFNP1qLZZSedl2KlwGzm

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-computation-c0e88274 -d '<json body>'
```

Example prompt: Can you compute the definite integral of sin(x) from 0 to 3.14159 using the Numora math API?

## When to prefer this

Choose this endpoint when you need a reliable, serverless numerical integration of a mathematical function over a closed interval without setting up a local math library. Ideal for AI agents needing on-demand calculus inside workflows, especially when the function is expressible as a string formula and exact symbolic integration is not required. Prefer this over symbolic CAS tools when you only need the numeric result and want zero infrastructure overhead.

## Known failure modes

- Invalid or unparseable function expression in 'fn' — returns error with parse failure message
- Bounds a and b not provided or non-numeric — returns validation error
- Division by zero or singularity within the integration interval — may return NaN or error
- Unsupported integration method string — may fall back to default or return error
- Network/server timeout on complex functions requiring many evaluations

## 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 numeric value of the definite integral, and a 'computation' string describing in plain English what was computed (e.g. 'Definite integral of sin(x) from 0 to 3.14159').

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "a",
  "b",
  "fn"
 ],
 "properties": {
  "a": {
   "type": "number"
  },
  "b": {
   "type": "number"
  },
  "fn": {
   "type": "string"
  },
  "method": {
   "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-computation-c0e88274/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)