---
title: Integratie van rationale functies
description: Leer rationale functies integreren met polynoomdeling en partiële breuken.
url: https://astra-ai.co/nl/videos/integralen/onbepaalde-integraal/integratie-van-rationale-functies/
locale: nl
type: video-lesson
published: 2026-10-01T19:46:56.054Z
updated: 2026-10-01T19:46:56.054Z
alternates:
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  it: https://astra-ai.co/it/videos/integrali/integrale-indefinito/integrazione-funzioni-razionali/
  pl: https://astra-ai.co/pl/videos/calki/calka-nieoznaczona/calkowanie-funkcji-wymiernych/
  es: https://astra-ai.co/es/videos/integrales/integral-indefinida/integracion-de-funciones-racionales/
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  el: https://astra-ai.co/el/videos/olokliromata/aoristo-olokliroma/integration-of-rational-functions/
  cs: https://astra-ai.co/cs/videos/integraly/neurcity-integral/integrace-racionalnich-funkci/
  bg: https://astra-ai.co/bg/videos/integrali/neopredelen-integral/integrirane-na-ratsionalni-funktsii/
  fi: https://astra-ai.co/fi/videos/integraalit/maaraamaton-integraali/rationaalifunktioiden-integrointi/
  et: https://astra-ai.co/et/videos/integraalid/maaramata-integraal/ratsionaalfunktsioonide-integreerimine/
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  id: https://astra-ai.co/id/videos/integral/integral-tak-tentu/integrasi-fungsi-rasional/
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  lv: https://astra-ai.co/lv/videos/integrali/nenoteiktais-integralis/stunda-7f448d93/
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---

# Integratie van rationale functies

> Leer rationale functies integreren met ontbinding in partiële breuken.

## RATIONALE FUNCTIES INTEGREREN

Schrijf een rationale functie als breuk van polynomen. Voer eerst polynoomdeling uit wanneer de teller minstens zo hoog is als de noemer.

Ontbind de noemer in factoren en gebruik partiële breuken. De afzonderlijke integralen leiden vaak tot logaritmen of arctangens.

## CONCLUSIE

Een systematische ontbinding maakt ingewikkelde rationale integralen oplosbaar.