{"uid":"cap_Nr50w6P6ZVkzxq5yBRMnw","slug":"numora-calculus-integral-endpoint-e42e9a20","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://numormor.netlify.app/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":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_tN4e_FjNeDADUy1mk7G2B","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Numerically integrates a mathematical function over a specified interval [a, b] using a configurable method","exampleAgentPrompt":"Can you compute the definite integral of x^2 + 3*x from a=0 to b=10 using the Simpson method?","exampleUseCases":null,"resultDescription":"Returns a JSON object with a boolean success field, a result object containing the numerical value of the definite integral, and a human-readable computation string describing what was calculated.","failureModes":["Invalid or unparseable function string in fn field — returns error or success:false","Integration bounds a and b are not valid numbers — schema validation error","Unsupported integration method string — may fall back to default or return error","Function expression causes division by zero or undefined values in the interval — computation error","Micropayment not processed — 402 Payment Required before computation runs"],"whenToPreferThis":"Use this endpoint when you need to numerically evaluate a definite integral of a mathematical function expression over a closed interval, especially in an agentic pipeline that needs zero external dependencies and pays per-call via x402 micropayments on Base.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:50:30.608Z","isFirstParty":false}