{"uid":"cap_31HnNEkvwFkLn3i-aDfxH","slug":"numora-calculus-integral-endpoint-f7f78cbd","name":"Numora Calculus Integral Endpoint","description":"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.","url":"https://numorapoi.orbonomy.xyz/api/calculus/integral","method":"POST","headers":{},"bodySchema":{"type":"object","required":["a","b","fn"],"properties":{"a":{"type":"number"},"b":{"type":"number"},"fn":{"type":"string"},"method":{"enum":["simpson","trapezoid","gauss"],"type":"string"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.04/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_uI2lCv0ynsty2Q5Pqd3M0","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.04","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the definite integral of a mathematical function over a specified interval [a, b] using numerical methods","exampleAgentPrompt":"Calculate the definite integral of sin(x) from 0 to 3.14159 using the trapezoid method and give me the result.","exampleUseCases":null,"resultDescription":"A JSON object with a success boolean, a result object containing the computed integral value, and a human-readable computation string describing what was calculated (e.g. 'Definite integral of sin(x) from 0 to pi ≈ 2.0').","failureModes":["Invalid or unparseable function expression in fn field returns an error","Bounds a and b where a > b may return zero or an error depending on implementation","Unsupported integration method string causes failure or fallback","Non-numeric values for a or b cause schema validation failure","Very large or unbounded intervals may produce inaccurate results or timeout"],"whenToPreferThis":"Use this endpoint when you need a quick, dependency-free numerical definite integral computation without setting up a local math library. Ideal for AI agents needing calculus results on demand with x402 micropayment billing, especially when the integrand is expressible as a string formula and bounds are finite real numbers.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:45:40.198Z","isFirstParty":false}