numerical_integrate
Numerical integration of a math expression using Simpson's rule, trapezoid, or midpoint method.
This record as markdown: /tools/io-github-malamutemayhem-unclick-mcp-server/numerical-integrate.md
What numerical_integrate does on UnClick
AI agents invoke numerical_integrate to trigger actions in UnClick. What it does depends on the arguments the agent supplies, and its effects often reach beyond the immediate call: builds kicked off, notifications sent, workflows started.
| Parameter | Type | Required | Description |
|---|---|---|---|
a | number | Yes | Lower bound of integration. |
b | number | Yes | Upper bound of integration. |
method | string | — | Method: simpson (default), trapezoid, or midpoint. |
intervals | number | — | Number of intervals (default 1000, max 1000000). |
expression | string | Yes | Math expression in x (e.g. 'x^2 + 1'). |
Parameters from the server's own tool schema.
Why numerical_integrate is rated High
This tool executes a mathematical computation (numerical integration) on a provided expression. It runs a calculation algorithm rather than simply reading stored data or writing to a data store. The blast radius is low since it only performs math and has no side effects on external systems.
From the tool's definition Numerical integration of a math expression using Simpson's rule, trapezoid, or midpoint method
Risk signalsAccepts freeform code/query input (expression)
Attacks that exploit this kind of access
The rule that runs numerical_integrate safely
PolicyLayer is an MCP gateway: it sits between your AI agents and UnClick, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For numerical_integrate, this is the rule to start with:
numerical_integrate stays usable, but rate-capped: a runaway agent can't fire it dozens of times a minute. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect UnClick, apply this rule, and every numerical_integrate call is checked against it from then on.
Questions about numerical_integrate
Numerical integration of a math expression using Simpson's rule, trapezoid, or midpoint method. It is categorised as a Execute tool in the UnClick MCP Server, which means it can trigger actions or run processes. Use rate limits and argument validation.
numerical_integrate accepts 5 parameters: a, b, method, intervals, expression. Required: a, b, expression. The full parameter table on this page comes from the server's own tool schema.
Register the UnClick MCP server in PolicyLayer and add a rule for numerical_integrate: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches UnClick. Nothing to install.
numerical_integrate is a Execute tool with high risk. Execute tools should be rate-limited and have argument validation enabled.
Yes. Add a rate_limit block to the numerical_integrate rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.
Set action: deny in the PolicyLayer policy for numerical_integrate. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.
numerical_integrate is provided by the UnClick MCP server (@unclick/mcp-server). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
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