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sympy_integrate

Integrate a mathematical expression symbolically with respect to a specified variable, providing an exact analytic result.

Instructions

Integrate an expression.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYesString expression to integrate
variableNoVariable to integrate with respect tox

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

No annotations provided; the description does not disclose behavioral traits such as whether it computes indefinite integrals only, output format, or error handling. Barely adds context beyond the name.

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

Conciseness3/5

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

Single sentence is concise but under-specified; lacks necessary details expected for a math tool. Efficiency is overshadowed by missing information.

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?

Despite having an output schema (unseen), the description fails to explain the return type or behavior for definite vs indefinite integration. Incomplete for a tool that computes symbolic integrals.

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

Parameters3/5

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

Both parameters have schema descriptions (100% coverage), so baseline is 3. The description adds no further semantic value (e.g., examples of expression formats).

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

Purpose3/5

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

The description 'Integrate an expression' states the action and resource clearly but does not specify type (indefinite vs definite) or differentiate from siblings like sympy_integral.

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 on when to use this tool versus alternatives such as sympy_derivative or sympy_solveset. No exclusions or prerequisites mentioned.

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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