symbolic_definite_integral

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

No annotations are provided, so the description carries full burden. It discloses that the tool returns both antiderivative and numeric/symbolic result, which is informative. It does not detail edge cases like improper integrals or convergence, but the core behavior is transparent.

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

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

The description is very concise: one sentence plus an example. No wasted words, well-structured, and front-loaded with the core definition.

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

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

Given the tool's simplicity (4 string parameters, no output schema), the description is adequately complete. It explains what the tool does, what it returns, and includes a representative example. No major gaps remain.

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

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

Schema coverage is 100% but parameter descriptions are minimal (e.g., 'Lower bound: '0', '-inf''). The description adds meaning via a concrete example showing how parameters combine, making the integration context clear beyond the schema alone.

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

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

The description clearly states it computes the definite integral ∫[lower,upper] f(x)dx, returns antiderivative and numeric/symbolic result, and provides an explicit example. It distinguishes from sibling tools like 'symbolic_integrate' (likely indefinite) by focusing on bounds.

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

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

The description gives a clear example of usage but does not specify when to avoid this tool or explicitly name alternatives. However, the sibling list implies its niche for definite integrals, and the example serves as a sufficient guide for intended use.

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