Intrical vs. Integral — Which is Correct Spelling?
By Tayyaba Rehman — Updated on March 21, 2024
"Intrical" is an incorrect spelling. The correct spelling is "Integral," which denotes being essential or fundamental.
Table of Contents
Which is correct: Intrical or Integral
How to spell Integral?
Intrical
Incorrect Spelling
Integral
Correct Spelling
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Key Differences
"Intri" might mislead you to "intricate," which is not related to "Integral."
Recall the phrase "an integral part" to reinforce the correct spelling.
"Integral" sounds like "entire," hinting at its meaning of wholeness.
Think of "Integral" as containing "integrate," showing its completeness.
"Integral" connects to mathematics, think of calculus and integrals.
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How Do You Spell Integral Correctly?
Incorrect: His research was intrical to the success of the project.
Correct: His research was integral to the success of the project.
Incorrect: This chapter is intrical to the plot of the book.
Correct: This chapter is integral to the plot of the book.
Incorrect: Her advice was intrical in making my decision.
Correct: Her advice was integral in making my decision.
Incorrect: The part is intrical to the machine's function.
Correct: The part is integral to the machine's function.
Incorrect: Understanding the basics is intrical for learning a new language.
Correct: Understanding the basics is integral for learning a new language.
Integral Definitions
Essential or fundamental to completeness.
Water is integral to human survival.
Pertaining to an entire thing; complete.
Each department is an integral component of the company.
Made as a part of the whole; not separate.
The handle is integral to the design of the mug.
A mathematical function related to areas under curves.
In calculus, students learn to solve integrals.
Concerned with values of integrals.
The integral equation has many applications in physics.
In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.
Necessary to make a whole complete; essential or fundamental
Games are an integral part of the school's curriculum
Systematic training should be integral to library management
Of or denoted by an integer.
A function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function.
Essential or necessary for completeness; constituent
The kitchen is an integral part of a house.
Possessing everything essential; entire.
Expressed or expressible as or in terms of integers.
Expressed as or involving integrals.
A complete unit; a whole.
A number computed by a limiting process in which the domain of a function, often an interval or planar region, is divided into arbitrarily small units, the value of the function at a point in each unit is multiplied by the linear or areal measurement of that unit, and all such products are summed.
A definite integral.
An indefinite integral.
Constituting a whole together with other parts or factors; not omittable or removable
(mathematics) Of, pertaining to, or being an integer.
(mathematics) Relating to integration.
(obsolete) Whole; undamaged.
(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!
(specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
(mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
The integral of on is , but the integral of the same function on diverges. In notation, , but .
(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
The integral of is plus a constant.
The fluent of a given fluxion in Newtonian calculus.
Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
A local motion keepeth bodies integral.
Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.
Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
A whole; an entire thing; a whole number; an individual.
An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.
The result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
Existing as an essential constituent or characteristic;
The Ptolemaic system with its built-in concept of periodicity
A constitutional inability to tell the truth
Constituting the undiminished entirety; lacking nothing essential especially not damaged;
A local motion keepeth bodies integral
Was able to keep the collection entire during his lifetime
Fought to keep the union intact
Integral Meaning in a Sentence
Exercise is integral to maintaining good health.
The water cycle is integral to Earth's climate system.
Honesty is an integral trait for building trust in relationships.
Practicing daily is integral for mastering a musical instrument.
The integral components of a computer include the CPU and RAM.
Sunlight is integral for the process of photosynthesis in plants.
The integral part of the recipe is the secret spice blend.
Feedback is integral to improving one's skills.
Freedom of speech is integral to a democratic society.
Oxygen is integral for human respiration.
Being integral to the team means contributing positively.
Understanding cultural context is integral in language learning.
A helmet is an integral piece of safety equipment for cyclists.
A thesis statement is integral to the structure of an academic essay.
Patience is integral when teaching young children.
A strong foundation is integral to building a durable structure.
Community support is integral for the success of local businesses.
Curiosity is integral for scientific discovery.
Trust is integral in forming strong relationships.
Water is integral to sustaining all forms of life.
A good night's sleep is integral to overall health.
Respect for nature is integral to environmental conservation efforts.
Mathematics is integral to the field of engineering.
The battery is integral to a smartphone's operation.
Teamwork is integral to completing large projects efficiently.
Integral Idioms & Phrases
An integral part
A necessary component that is essential to the whole.
Regular maintenance is an integral part of owning a car.
Integral piece
A piece that is necessary to complete or understand the whole.
The final clue was the integral piece needed to solve the puzzle.
Integral role
A role that is necessary and important within a system or process.
Pollinators play an integral role in the reproduction of many plants.
Integral aspect
A fundamental or essential part of something.
Community engagement is an integral aspect of the project's strategy.
Integral to the ecosystem
Necessary for the balance and health of the ecosystem.
Bees are integral to the ecosystem, pollinating plants that produce much of our food.
Integral to understanding
Essential for gaining a full or deeper understanding of something.
Historical context is integral to understanding the novel's themes.
Integral in decision-making
Being a crucial part of the decision-making process.
Data analysis is integral in decision-making for the company.
Integral to growth
Necessary for growth or development.
Constructive criticism is integral to personal and professional growth.
Integral to success
Being essential or critical for achieving success.
Dedication and hard work are integral to success in any field.
Integral to the team
Being an essential member of the team, contributing significantly.
Her leadership skills are integral to the team's success.
Without which, not integral
Indicating that something is so important that without it, the goal cannot be achieved.
Innovation is, without which, not integral to staying ahead in the tech industry.
Make something integral
To make something an essential part of something else.
The company aims to make sustainability integral to its business model.
Integral to the process
Being a necessary part of the process.
Feedback from users is integral to the process of improving the app.
Becoming integral
Becoming a necessary part of something.
With time, technology is becoming integral to everyday life.
Integral to the experience
Being a necessary part of the overall experience.
Interaction with the local culture is integral to the experience of traveling.
Common Curiosities
Why is it called Integral?
Derived from the Latin "integer," it means "whole" or "untouched," signifying completeness.
What is the root word of Integral?
The root is the Latin word "integer," meaning "whole."
What is the pronunciation of Integral?
Integral is pronounced as /ɪnˈtɛɡ.rəl/.
What is the verb form of Integral?
"Integral" is primarily an adjective and noun. The related verb is "integrate."
Is Integral an adverb?
No.
What is the plural form of Integral?
The plural form is "integrals" when referring to the mathematical concept.
Is Integral a noun or adjective?
"Integral" can be both a noun (in math) and an adjective.
Which preposition is used with Integral?
"to" is common, as in "integral to the process."
Is Integral an abstract noun?
In its non-mathematical sense, yes.
Is Integral a negative or positive word?
Neutral, but it often carries a positive connotation when something is deemed essential.
Which vowel is used before Integral?
Typically "an" as in "an integral component."
Is Integral a vowel or consonant?
The word "integral" contains both vowels and consonants.
Which conjunction is used with Integral?
Any conjunction can be used, depending on the context.
What is the singular form of Integral?
The singular form is "integral."
What is a stressed syllable in Integral?
The second syllable, "te."
What part of speech is Integral?
Adjective or noun.
What is the opposite of Integral?
Extraneous or nonessential.
Is the Integral term a metaphor?
Not typically, but can be used metaphorically in certain contexts.
How many syllables are in Integral?
Three.
How do we divide Integral into syllables?
In-te-gral.
What is another term for Integral?
Essential or fundamental.
Which determiner is used with Integral?
"this," "that," "an," "the," etc.
Is the word “Integral” a Direct object or an Indirect object?
It can be either, depending on its use in a sentence.
How is Integral used in a sentence?
Participation is an integral aspect of the team-building process.
Which article is used with Integral?
Either "a" or "an" can be used, depending on pronunciation. Typically, "an."
Is Integral a countable noun?
In its mathematical sense, yes (e.g., multiple integrals).
Is Integral a collective noun?
No.
Is the word Integral imperative?
No.
Is the word Integral a gerund?
No.
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Tayyaba RehmanTayyaba Rehman is a distinguished writer, currently serving as a primary contributor to askdifference.com. As a researcher in semantics and etymology, Tayyaba's passion for the complexity of languages and their distinctions has found a perfect home on the platform. Tayyaba delves into the intricacies of language, distinguishing between commonly confused words and phrases, thereby providing clarity for readers worldwide.
