Numerical Integration

/njuːˈmɛrɪkəl ˌɪntɪˈɡreɪʃən/ 🇹🇷 Sayısal entegrasyon essential · frequency 10/10

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

EnglishNumerical Integration
Turkishsayısal entegrasyon
Frenchintégration numérique
Germannumerische Integration
Spanishintegración numérica
Chinese数值积分
Arabicالتكامل العددي
Portugueseintegração numérica
Russianчисленное интегрирование
Japanese数値積分
Italianintegrazione numerica
Vietnamesetích phân số
Hindiसंख्यात्मक समाकलन
Thaiการอินทิเกรตเชิงตัวเลข
Indonesianintegrasi numerik
Korean수치 적분
Bengaliসংখ্যাসূচক ইন্টিগ্রেশন
Dutchnumerieke integratie
Swedishnumerisk integration
Finnishnumeerinen integrointi
Ukrainianчисельне 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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