integral
gb/ɪntˈɛɡɹəl/ us/ɪntˈɛɡɹəl/
B2
英语
~ 6800
elengedhetetlen, vminek a szerves része, egységes, integrált, integrál-, integrál, egészértékű, egész
B2
1
用法模式：
[something] is integral to [something]
Trust is integral to any healthy relationship.
A bizalom minden egészséges kapcsolat elengedhetetlen része.
Local volunteers play an integral role in running the festival.
A helyi önkéntesek elengedhetetlen szerepet játszanak a fesztivál lebonyolításában.
Public transport is an integral part of life in big cities.
Regular backups are integral to our data security plan.
These community centers are integral to the city’s social support system.
学习者例句
Good communication is integral to a strong team.
A jó kommunikáció elengedhetetlen egy erős csapathoz.
Exercise is integral to a healthy lifestyle.
A mozgás az egészséges életmód elengedhetetlen része.
Reading is an integral part of my daily routine.
Honesty is integral to their company culture.
Clean water is integral to human life.
常见错误：
Learners sometimes say *"integral for"* when they mean *"integral to"*. Use *integral to* when you say what thing needs it: "Sleep is integral to good health." Another mistake is using *integral* when they only mean *important*; *integral* usually means something is needed for completeness or proper function, not just helpful.
含义
essential and necessary part
搭配
integral part of
|integral role
|integral component
|integral to the success
|integral member
|integral to the system
近义词
essential (Stronger and more direct about something being absolutely needed; very close in meaning and register.)
|
fundamental (Suggests forming a basic foundation or base, often in more formal or abstract contexts.)
|
vital (Adds a sense of great importance, sometimes with an emotional or urgent tone.)
反义词
nonessential (States directly that something is not necessary or required.)
|
minor (Suggests something is less important or has little influence on the whole.)
主题
daily_life
|work
|society
|core_vocabulary
释义
Very important and needed so that something is complete or works well.
Essential and necessary for something to be complete, successful, or to work properly.
C1
FORMAL
2
用法模式：
[something] forms an integral whole
The report presents an integral view of the region’s economic and social challenges.
A jelentés egységes képet ad a régió gazdasági és társadalmi kihívásairól.
These policies must be seen as part of an integral system, not as separate measures.
Ezeket a szakpolitikákat egy egységes rendszer részeként kell látni, nem különálló intézkedésekként.
We need an integral approach that connects education, housing, and healthcare.
The novel offers an integral portrait of life in a small coastal town.
Urban planning should aim at creating an integral whole, not isolated projects.
学习者例句
The book gives an integral picture of life in the city.
A könyv egységes képet ad a városi életről.
The plan is an integral whole and all parts work together.
A terv egységes egész, és minden része együtt működik.
We must see the school as an integral system, not just separate classes.
Her study offers an integral view of the problem.
They want an integral solution, not many small answers.
常见错误：
Learners may confuse this sense with the more common *"essential"* sense and use *integral* before a single item (e.g. *"an integral door"*). In this meaning, *integral* usually describes something abstract (a system, approach, vision, whole) rather than a simple physical object.
含义
forming a whole, complete
搭配
integral whole
|integral system
|integral structure
|integral vision
|integral approach
近义词
whole (More common and less formal; simply means not divided or broken.)
|
complete (Focuses on having all parts needed, without the formal or abstract tone of "integral".)
反义词
fragmented (Highlights something being broken into pieces rather than forming one whole.)
|
partial (Emphasizes that only some parts are present, not the entire whole.)
主题
academic
|philosophy
|society
|core_vocabulary
释义
Having all parts together so that something is whole and not divided.
Forming a whole by having all parts combined; complete and undivided.
C1
TECHNICAL
3
integrál-
C1
用法模式：
integral [noun]
The course covers both differential and integral calculus.
A kurzus a differenciál- és az integrálszámítást is tárgyalja.
We will now study integral equations and their applications.
Most az integrálegyenleteket és alkalmazásaikat fogjuk tanulmányozni.
This theorem plays a central role in integral geometry.
The paper introduces a new integral operator on this function space.
Integral transforms are powerful tools in mathematical physics.
学习者例句
Today we learned about integral calculus in class.
Ma az órán az integrálszámításról tanultunk.
This is an integral equation, not a simple algebra problem.
Ez integrálegyenlet, nem egyszerű algebrai feladat.
The book has a chapter on integral methods.
Integral operators are used in advanced mathematics.
She is doing research on integral transforms.
常见错误：
Learners sometimes think *integral calculus* means "very important calculus" because of the everyday meaning of *integral*. In mathematics, this sense strictly refers to calculus based on integration, not importance.
含义
relating to calculus integrals
搭配
integral calculus
|integral equation
|integral transform
|integral operator
|integral function
近义词
integrational (A rare technical term; in practice, mathematicians simply use "integral" for things involving integrals.)
反义词
differential (In calculus, describes things related to differentiation rather than integration, often contrasted with "integral" (e.g. differential vs. integral equations).)
主题
mathematics
|science
|education
释义
Talking about or using integrals in calculus.
Relating to or involving integrals in calculus.
名词
C1
TECHNICAL
4
integrál
C1
用法模式：
the integral of [function]
The integral of x² is x³/3 + C.
Az x² integrálja x³/3 + C.
We can use substitution to evaluate this definite integral.
Helyettesítéssel kiszámíthatjuk ezt a határozott integrált.
This table lists common integrals you should memorize.
The area under the curve is given by this integral.
To solve the problem, first write down the integral and then choose an appropriate method.
学习者例句
We learned how to find the integral of simple functions.
Megtanultuk, hogyan kell egyszerű függvények integrálját meghatározni.
The teacher asked us to compute this definite integral.
A tanár azt kérte, hogy számítsuk ki ezt a határozott integrált.
I still make mistakes when I evaluate integrals.
This formula helps you find the integral faster.
The integral gives the area under the graph.
常见错误：
Learners often mix up *integral* and *integration*. *Integral* is the result (or expression) you get, while *integration* is the process. For example: "Find the integral of x" (result), not "Find the integration of x."
含义
result of integration
搭配
definite integral
|indefinite integral
|compute the integral
|evaluate the integral
|integral sign
|integral of
近义词
antiderivative (More precise for indefinite integrals; refers to a function whose derivative is the given function.)
|
primitive (Used mainly in some mathematical traditions (e.g. French) as a synonym for "antiderivative"; less common in general English usage.)
反义词
derivative (In calculus, the basic complementary operation to integration; often conceptually paired with integral as an opposite process.)
主题
mathematics
|science
|education
释义
In calculus, the answer you get when you integrate a function.
In calculus, the function or numerical value obtained by integrating another function.
C2
TECHNICAL
5
egészértékű
C1
egész
B1
用法模式：
integral [noun]
We are only interested in integral solutions to this equation.
Ebben az egyenletben csak az egészértékű megoldások érdekelnek minket.
The algorithm searches for the smallest integral vector satisfying the constraints.
Az algoritmus a feltételeket kielégítő legkisebb egészértékű vektort keresi.
This is an integral matrix, since all its entries are integers.
In number theory, we often work within an integral domain.
The model requires the decision variables to be integral, not continuous.
学习者例句
The teacher asked us to find an integral solution to the problem.
A tanár azt kérte, hogy találjunk egy egészértékű megoldást a feladatra.
All the values in this table are integral numbers.
Ebben a táblázatban minden érték egész szám.
In this exercise, x must be integral, not a fraction.
We need integral values for this variable.
This method works only with integral data.
常见错误：
Learners may confuse *integral* with *integer* and use them in the wrong position. Use *integer* as a noun ("an integer"), and *integral* as an adjective before a noun ("an integral solution").
含义
consisting of whole numbers
搭配
integral solution
|integral domain
|integral matrix
|integral coefficients
|integral lattice
近义词
integer (Usually a noun; sometimes used attributively (e.g. "integer solution"), where *integral* is more traditional in some technical phrases.)
反义词
fractional (Emphasizes the presence of a non‑whole, fractional part, opposite to an integral or whole-number value.)
|
real-valued (Can include non-integer values; used in contrast to "integral" when specifying what kind of values a solution or variable can take.)
主题
mathematics
|science
|education
释义
In mathematics, made only of whole numbers, with no fractions or decimals.
In mathematics, consisting of or related to integers, with no fractional part.
语法
词典原形
integral
IPA
GB/ɪntˈɛɡɹəl/
US/ɪntˈɛɡɹəl/
音节与重音
in - teg - ral （3 个音节）
Stress on 2nd syllable (teg)
词形变化
Adjective
- Base: integral
Noun
- Base: integral
- Plural: integrals
词族
Forms
integrals
noun
Core family
Negative and opposite forms
disintegrate
verb
disintegration
noun
Advanced or less common
integrative
adjective
相关表达
an integral part of
1/ən ɪntˈɛɡɹəl pˈɑɹt əv/
fixed phrase
a necessary part of something
A part that is needed so that something is complete or works well.
例句
- Teamwork is an integral part of our company culture.
- Freedom of the press is an integral part of a healthy democracy.
- Physical practice is an integral part of learning a musical instrument.
be integral in
1/bˈi ɪntˈɛɡɹəl ˈɪn/
fixed phrase
play an essential role in
To be very important in making something happen or in reaching a result.
例句
- She was integral in organizing the charity event.
- Community leaders were integral in bringing peace to the region.
- Technology has been integral in improving medical care.
be integral to
1/bˈi ɪntˈɛɡɹəl tə/
fixed phrase
be essential for something
To be very important and needed so that something is complete or works well.
例句
- Innovation is integral to the company’s long-term success.
- Listening is integral to good communication.
- These values are integral to our way of life.
form an integral part of
1/fˈɔɹm ən ɪntˈɛɡɹəl pˈɑɹt əv/
fixed phrase
formal
constitute an essential part
To be one of the important parts that together make a whole thing.
例句
- Local traditions form an integral part of the nation’s identity.
- Research and teaching form an integral part of the university’s mission.
- Public transport forms an integral part of the city’s infrastructure.