Compute the integral: meaning, definitions and examples

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compute the integral

 

[ˈɪntɪɡrəl ]

Definition

Context #1 | Verb

mathematics

To find the integral or antiderivative of a function, typically with respect to a given variable. Integrals are fundamental in calculus and are used to determine areas, volumes, and other quantities.

Synonyms

calculate, determine, evaluate, find.

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Word Description / Examples
compute the integral

Used specifically in mathematical contexts to describe the process of calculating the integral of a function.

  • She needs to compute the integral of this function for her calculus homework
calculate

Generally used in situations where a mathematical value or result is needed. Broader in application and can refer to a variety of mathematical operations.

  • You need to calculate the total cost before checking out
determine

Used in both formal and informal contexts to describe figuring out or establishing something through analysis or investigation. Can be used beyond math, in decision-making or identifying something.

  • We need to determine the cause of the problem
evaluate

Used when an in-depth analysis is required, often to understand the value, quality, or significance of something. Common in academic, technical, or professional settings.

  • The teacher will evaluate the students' presentations
find

A casual and general term used for discovering or identifying something. Can be used in both technical and everyday contexts.

  • We need to find the missing piece of the puzzle

Examples of usage

  • Can you help me compute the integral of this function?
  • After computing the integral, we can find the total area under the curve.
  • The process of computing integrals can be challenging for some students.

Translations

Translations of the word "compute the integral" in other languages:

🇵🇹 calcular a integral

🇮🇳 इंटीग्रल की गणना करें

🇩🇪 das Integral berechnen

🇮🇩 hitung integral

🇺🇦 обчислити інтеграл

🇵🇱 obliczyć całkę

🇯🇵 積分を計算する

🇫🇷 calculer l'intégrale

🇪🇸 calcular la integral

🇹🇷 integrali hesapla

🇰🇷 적분을 계산하다

🇸🇦 حساب التكامل

🇨🇿 vypočítat integrál

🇸🇰 vypočítať integrál

🇨🇳 计算积分

🇸🇮 izračunaj integral

🇮🇸 reikna heilduna

🇰🇿 интегралды есептеу

🇬🇪 ინტეგრალის გამოთვლა

🇦🇿 inteqralı hesabla

🇲🇽 calcular la integral

Etymology

The term 'integral' in mathematics originated from the Latin word 'integralis', meaning 'whole' or 'complete'. The concept of integrals has a long history, with contributions from mathematicians like Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century. Integrals play a crucial role in various branches of mathematics and have applications in physics, engineering, and other scientific fields.