take integral of (english) - meaning, definition, translation, pronunciation

Part of Speech

• Phrase (verb phrase)

Phonetic Transcription

/teɪk ˈɪn.tɪ.ɡrəl əv/

Meaning and Usage

The phrase "take integral of" is used in mathematics, particularly in calculus. It refers to the process of finding the integral of a function, which can be understood as finding the area under the curve defined by that function. This phrase is primarily used in written contexts, especially in educational, academic, or professional settings relating to mathematics or science. Its frequency of use is common among students, teachers, and professionals who deal with calculus.

Example Sentences

1. To solve the equation, you need to take integral of the function from 0 to 1.

2. (Para resolver la ecuación, necesitas tomar la integral de la función de 0 a 1.)

3. When you take integral of the velocity function, you can find the displacement over time.

4. (Cuando tomas la integral de la función de velocidad, puedes encontrar el desplazamiento a lo largo del tiempo.)

5. The professor asked the students to take integral of various functions as part of their homework.

6. (El profesor pidió a los estudiantes que tomaran la integral de varias funciones como parte de su tarea.)

Idiomatic Expressions Involving "Take"

While "take integral of" itself is a specific mathematical term, the verb "take" is commonly used in various idiomatic expressions. Here are a few:

1. Take it or leave it
2. You can accept the offer or reject it; it's a "take it or leave it" situation.

3. (Puedes aceptar la oferta o rechazarla; es una situación de "tómalo o déjalo".)

4. Take the bull by the horns

5. She decided to take the bull by the horns and confront her boss about the issue.

6. (Decidió "tomar el toro por las astas" y confrontar a su jefe sobre el problema.)

7. Take a back seat

8. In this project, I’m happy to take a back seat and let others shine.

9. (En este proyecto, estoy feliz de "tomar un asiento trasero" y dejar que otros brillen.)

10. Take your time

11. Don't rush; just take your time and do it well.

12. (No te apresures; simplemente "tómate tu tiempo" y hazlo bien.)

13. Take a hike

14. If you don't agree with the decision, you can just take a hike.
15. (Si no estás de acuerdo con la decisión, simplemente puedes "tomar un sendero".)

Etymology

The word "take" derives from Old English "tocan," which means "to seize, grasp." "Integral" comes from the Latin "integralis," meaning "whole," related to "integer," which means "whole number." The phrase "take integral of" combines these concepts with the mathematical action of finding areas under curves to denote the process of integration.

Synonyms and Antonyms

• Synonyms: calculate integral, integrate, find integral
• Antonyms: differentiate, derive

This response provides a comprehensive overview of the phrase "take integral of," its meanings, uses, examples, idiomatic expressions with "take," etymology, and related synonyms and antonyms.