Numerical Integration
Engineering Fundamentals · Last updated: July 30, 2026 · How this entry was written
Definition: Numerical integration is a method for approximating the definite integral of a function using discrete data points when an analytic antiderivative is unavailable or impractical.
Example in context
“The stress distribution along the beam was computed using numerical integration of the measured strain data.”
“Kiriş boyunca gerilme dağılımı, ölçülen gerinim verilerinin sayısal entegrasyonu kullanılarak hesaplandı.”
Where engineers use it
Used when solving integrals of complex functions in finite element analysis, heat transfer, or fluid dynamics. Engineers rely on it to obtain approximate solutions where exact analytic integration is impossible or inefficient.
Synonyms: quadrature, approximate integration
Antonyms: analytic integration
Practice: can you use “Numerical Integration” at work?
You are evaluating a curved plate's deflection under a load where the moment equation cannot be integrated analytically. Compute the deflection using a suitable numerical integration method.
Show a model answer
“Use numerical integration to approximate the total heat flux through the surface.”
“Numerical Integration” in 21 languages
| English | Numerical Integration |
|---|---|
| Turkish | sayısal entegrasyon |
| French | intégration numérique |
| German | numerische Integration |
| Spanish | integración numérica |
| Chinese | 数值积分 |
| Arabic | التكامل العددي |
| Portuguese | integração numérica |
| Russian | численное интегрирование |
| Japanese | 数値積分 |
| Italian | integrazione numerica |
| Vietnamese | tích phân số |
| Hindi | संख्यात्मक समाकलन |
| Thai | การอินทิเกรตเชิงตัวเลข |
| Indonesian | integrasi numerik |
| Korean | 수치 적분 |
| Bengali | সংখ্যাসূচক ইন্টিগ্রেশন |
| Dutch | numerieke integratie |
| Swedish | numerisk integration |
| Finnish | numeerinen integrointi |
| Ukrainian | чисельне інтегрування |
Frequently asked questions
What does Numerical Integration mean in engineering?
Numerical integration is a method for approximating the definite integral of a function using discrete data points when an analytic antiderivative is unavailable or impractical. In Engineering Fundamentals, the term carries a usage-frequency rating of 10/10 in the Engineering English library.
How do you pronounce Numerical Integration?
Numerical Integration is pronounced /njuːˈmɛrɪkəl ˌɪntɪˈɡreɪʃən/ (IPA). The Engineering English app plays audio for the term and checks your pronunciation with speech recognition.
How is Numerical Integration used in a sentence?
Example from an engineering context: “The stress distribution along the beam was computed using numerical integration of the measured strain data.”
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