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amichae2

Math MCP Server

by amichae2

symbolic_integrate

Compute symbolic indefinite or definite integrals of mathematical expressions with respect to a variable, with optional limits for definite integration.

Instructions

Compute symbolic indefinite or definite integrals.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
variableNox
limitsNo
show_stepsNo
methodNoauto

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description carries the burden of behavioral disclosure. It mentions indefinite/definite integrals but does not explain the output format, handling of special functions, or computational requirements.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is a single concise sentence. It is not verbose, but could benefit from additional context while remaining succinct.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the tool's complexity (5 parameters, symbolic integration), the description is incomplete. It does not explain the role of parameters like 'method' or 'limits', nor the return value. The output schema exists but is not described.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters2/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, and the description adds no meaning to parameters like 'method' or 'limits'. Parameter names and defaults provide some clarity, but the description fails to enhance understanding.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the tool computes symbolic indefinite or definite integrals, which distinguishes it from numerical integration or other transforms like Laplace transforms. However, it does not explicitly differentiate from sibling tools like 'numerical_integrate'.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance is provided on when to use symbolic integration versus numerical integration or other methods. The description lacks explicit usage context or alternatives.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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