Antiderivatives and indefinite integrals | AP Calculus AB | Khan Academy
A1 A2 B1 B2 C1 C2
approximate
US / ə'prɒksɪmət /
•UK / əˈprɑksəmɪt /
- adjecitve
- About; not exact but close
- verb
- To be similar to, but not exactly the same
curve
US / kə:v /
•UK / kɚv /
- noun
- Smooth rounded line that is not straight
- verb
- To make something bend into a rounded shape
they
US / ðeɪ /
•UK / ðe /
- pronoun
- Two or more people, animals, or things
change
US / tʃeɪndʒ /
•UK / tʃendʒ /
- noun
- Exchange of one set of clothes for another
- Money in the form of coins instead of paper
- Money returned after giving too much
- Act of making or becoming something else
- verb
- To exchange one set of clothes for another
- To exchange one kind of money for another
- To replace something with another thing
- To make or become something else
- To go from one train, bus, etc. and go to another
take
US / teɪk /
•UK / tek /
- noun
- Filming of a single scene for TV or the movies
- verb
- To accept something that is offered
- To use a method of traveling, e.g. a bus or train
- To use a camera to make (a photo)
- To pick up something and go away with it
- To study a subject in school
- To attempt to pass (an exam)
- To require a certain amount of time, money, space
expression
US / ɪk'spreʃn /
•UK / ɪkˈsprɛʃən /
- noun
- Act of making your thoughts and feelings known
- Group of words that have a specific meaning
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
strange
US / streɪndʒ /
•UK / strendʒ /
- adjecitve
- Unusual or odd; surprising because unexpected
derivative
US / dɪˈrɪvətɪv /
•UK / dɪˈrɪvətɪv /
- adjecitve
- Not from original ideas; from somewhere else
general
US / 'dʒenrəl /
•UK / ˈdʒɛnərəl /
- adjecitve
- Widespread, normal or usual
- noun
- Top ranked officer in the army
nice
US / naɪs /
•UK / naɪs /
- adjecitve
- Being attractive or of high quality or value
- Good or enjoyable
- Being kind or friendly
look
US / lʊk /
•UK / lʊk /
- noun
- Person's beauty or physical attractiveness
- Particular style of dress, clothes, or appearance
- The way someone, something appears to be
- Act of searching for or examining something
- verb
- To appear to be; seem
become
US / bɪ'kʌm /
•UK / bɪˈkʌm /
- verb
- To begin to be; grow to be; develop into
- To be suitable for a particular job or role
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
apply
US / ə'plaɪ /
•UK / əˈplaɪ /
- verb
- To spread a substance or liquid over a surface
- To commit your time and effort to doing something
- To make something useful in a certain situation
- To be relevant for a situation
- To ask formally for (job, permission etc.)
give
US / ɡɪv /
•UK / ɡɪv /
- noun
- Degree of flexibility in something, a material
- verb
- To hand over or present something to someone
- To cause someone to have or experience something
crazy
US / 'kreɪzɪ /
•UK / ˈkrezi /
- adjecitve
- Mentally ill; mad
- Not being sensible or practical
- Really like someone or something very much
- noun
- Person acting in a manner that is strange and odd
sum
US / sʌm /
•UK / sʌm /
- noun
- Amount when all is added together; total
- verb
- To add two or more numbers together; total
want
US / wɔnt /
•UK / wɑnt, wɔnt /
- noun
- Something you desire or wish for
- State or condition of poverty
- verb
- To desire or wish for something; hope for a thing
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
sense
US / sens /
•UK / sɛns /
- noun
- Certain mental feeling or emotion
- Normal or clear state of mind
- Meaning of a particular word, phrase or text
- verb
- To perceive using sight, sound, taste touch etc.
- To recognize the presence of something
really
US / ˈri:əli /
•UK / ˈriəˌli, ˈrili /
- adverb
- Used to stress something that is said; definitely
- In a true or accurate manner
- Very
study
US / 'stʌdɪ /
•UK / ˈstʌdi /
- noun
- Room that a person studies or reads in
- Piece of research
- Topic or subject you research or learn about
- verb
- To focus on learning something usually at school
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
whole
US / həul /
•UK / hol /
- adjecitve
- Complete or full; all of
- Being in a good condition
- noun
- Complete amount or sum; total
about
US / ə'baʊt /
•UK / əˈbaʊt /
- adverb
- To be ready to; going to
- Nearly; approximately; roughly
- Near; next to; close to
- In every direction; in the area of
- preposition
- Concerning or of (a topic)
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
like
US / laɪk /
•UK / laɪk /
- adjecitve
- Being equal in status or kind to something else
- Similar; the same
- adverb
- For example
- preposition
- Used as a filler; used to ad emphasis
- In a way similar to the way something is done
- Such as; for example
- verb
- To want to
- To find something pleasing; to prefer something
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
essentially
US / ɪˈsenʃəli /
•UK / ɪˈsenʃəli /
- adverb
- Basically; (said when stating the basic facts)
elongate
US / ˈi:lɒŋgeɪt /
•UK / ɪˈlɔ:ŋgeɪt /
- verb
- To make something longer; to extend something
right
US / raɪt /
•UK / raɪt /
- adjecitve
- Correct or true
- The south side of you looking at the rising sun
- adverb
- Exactly in a place or time
- Being appropriate for a particular event
- In a straight or direct manner
- noun
- Something you are legally or morally allowed to do
- Ideal of what is just and good
- Political view based on conservatism
- verb
- To fix something previously wrong or unjust
- To make upright, as a boat that has turned over
square
US / skweə(r) /
•UK / skwɛr /
- adjecitve
- Being fair or honest
- Multiply a number by itself e.g. 2x2 or 6x6
- noun
- Shape with 4 equal length sides and 4 equal angles
- The result of multiplying Length by the width
- Open public area in the middle of the town
- verb
- To make something balance or be equal
- To multiply a number by itself, e.g. 2x2 or 6x8
- To straighten the edge to form a four-sided shape
notation
US / nəʊ'teɪʃn /
•UK / noˈteʃən /
- noun
- Set of written signs are used in music or math
get
US / ɡet /
•UK / ɡɛt /
- verb
- To become affected by illness or disease
- To begin to feel or understand an emotion or idea
- To send or bring someone or something home, etc.
- To go somewhere to obtain something
- To (cause to) do a particular thing
- To obtain, receive or be given something
- To currently have
- To prepare for use
- To understand something being said or read
obvious
US / ˈɒbviəs /
•UK / ˈɑbviəs /
- adjecitve
- Easily understood and clear; plain to see
case
US / keɪs /
•UK / kes /
- noun
- Container used to carry things, e.g. clothes
- Set of facts about a crime
- Set of facts about an event
- Example or instance of something
- verb
- To find out about a place, as in planning to steal
find
US / faɪnd /
•UK / faɪnd /
- noun
- Object discovered by chance
- Things that have been discovered from searching
- verb
- To become aware of something that is happening
- To discover or meet by chance
- To decide if someone is guilty of a crime, or not
- To learn through study, research, or effort
- To discover something by looking for it
type
US / taɪp /
•UK / taɪp /
- noun
- Printed letters or blocks used for printing them
- Group of things or people sharing common features
- verb
- To identify something belonging to a group
- To write by touching keys on a keyboard
operator
US / ˈɒpəreɪtə(r) /
•UK / ˈɑ:pəreɪtə(r) /
- noun
- Someone who operates or controls a machine
- Person whose job it is to connect phone calls
respect
US / rɪ'spekt /
•UK / rɪˈspɛkt /
- noun
- Behavior that follows the established rules
- Admiration for someone
- Regard or admiration for someone or something
- verb
- To follow the established rules
- To think very highly of another person
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
why
US / waɪ /
•UK / hwaɪ, waɪ /
- adverb
- Question word to ask for a reason
- exclamation
- (Used to express surprise or approval)
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
constant
US / 'kɒnstənt /
•UK / ˈkɑnstənt /
- adjecitve
- Happening frequently or without pause
- noun
- Thing that happens always or at a regular rate
under
US / ˈʌndə(r) /
•UK / ˈʌndɚ /
- adjecitve
- In the same place as another thing, but lower
- adverb
- In a lower quantity or price than expected
- preposition
- According to the terms of an agreement or law
- Managed or controlled by the authority of
- Being of a lesser quality or amount than expected
- Influenced or affected by something or someone
- Less or lower in age, amount, size or number
ask
US / ɑ:sk /
•UK / æsk /
- verb
- To say to someone that you want something
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
should
US / ʃʊd /
•UK / ʃʊd /
- other
- Used to indicate what is proper or reasonable
consider
US / kən'sɪdə(r) /
•UK / kənˈsɪdər /
- verb
- To think carefully about something
convention
US / kənˈvenʃn /
•UK / kənˈvɛnʃən /
- adjecitve
- Concerning a large formal assembly or meeting
- noun
- Official agreement between two or more countries
- Large formal assembly, e.g. to make laws
- Proper and widely accepted way of behaving
someone
US / ˈsʌmwʌn /
•UK / ˈsʌmˌwʌn, -wən /
- pronoun
- Person who is not known or named
once
US / wʌns /
•UK / wʌns /
- adverb
- One time; one instance
- At a time in the past
- conjunction
- When; as soon as
already
US / ɔ:lˈredi /
•UK / ɔlˈrɛdi /
- adverb
- Having happened or been done before this time
will
US / wɪl /
•UK / wɪl /
- noun
- Desire or choice of someone
- Document saying who gets your money when you die
- Strong desire to do something; determination
- Desire to do something; strong wish to do
- other
- Used with verbs to express the future
- verb
- To leave property to someone after your death
- To use mental effort to make something happen
- Am (is, are) likely to do
- To influence someone to do something
- To make something happen by strongly wanting it
area
US / 'eərɪə /
•UK / ˈɛriə /
- noun
- Amount of measured space
- A specific section or space; part of a region
- A subject or field of study
plus
US / plʌs /
•UK / plʌs /
- noun
- A benefit or advantage
- preposition
- In addition; add
- In addition to; Indicates a number above
- Having a value greater than zero
integral
US / ˈɪntɪgrəl /
•UK / ˈɪntɪɡrəl, ɪnˈtɛɡrəl /
- adjecitve
- Being an essential part of something; necessary
use
US / ju:s /
•UK / ju:s /
- noun
- Ability to employ something
- Need to enable it to work
- Permission to do something with something
- Act of spending money
- Operation of a machine for its function
- verb
- To have; to eat, drink, consume etc.
- To need to operate or work
- To operate a machine, e.g. a computer
- To treat a person badly
- To do something with, for a task or purpose
write
US / raɪt /
•UK / raɪt /
- verb
- To compose letters and words on paper or a screen
- To invent or create a computer program
- To create a song or piece of music
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
try
US / traɪ /
•UK / traɪ /
- noun
- Act of putting the ball over the rugby goal line
- verb
- To make an effort, to attempt to do something
- To examine someone or something in a court of law
- To test to see if it is good or you like it
- To make a person go through hardship; test
- To examine something to see if it works
other
US / 'ʌðə(r) /
•UK / ˈʌðər /
- adjecitve
- A thing different from that mentioned
- determiner
- (Something) else; not the first (one)
- pronoun
- Being the one and only thing of that category
one
US / wʌn /
•UK / wʌn /
- pronoun
- You; we; people in general; someone
- The thing or person previously referred to
- adjecitve
- Used to refer to people generally
- Being a strong example of (something mentioned)
- number
- Number 1
order
US / 'ɔ:də(r) /
•UK / ˈɔrdɚ /
- noun
- Religious or social group, as of nuns
- Instructions to others to do what you want
- State in which things are neat and organized
- What you ask to buy, e.g. food in restaurant
- Social or political control of an area
- verb
- To put things in a sequence, e.g. a, b, c
- To give instructions to others to do what you want
- To ask for something you want to buy, e.g. a meal
definite
US / ˈdefɪnət /
•UK / ˈdɛfənɪt /
- adjecitve
- Not likely to change; clearly decided
opposite
US / ˈɔpəzit /
•UK / ˈɑpəzɪt /
- adjecitve
- Being totally different from
- noun
- Person, thing that is totally different to another
- preposition
- Across from or on the side facing something
also
US / 'ɔ:lsəʊ /
•UK / ˈɔlso /
- adverb
- In addition; too; in a similar way
kind
US / kaɪnd /
•UK / kaɪnd /
- adjecitve
- In a caring and helpful manner
- friendly and considerate
- noun
- One type of thing
how
US / haʊ /
•UK / haʊ /
- adjecitve
- To what degree? in what amount?
- adverb
- (Used to explain the way to do something)
- exclamation
- For what purpose or reason?
- (Used to ask someone or something's condition)
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
big
US / bɪɡ /
•UK / bɪɡ /
- adjecitve
- Popular
- Serious
- Large
might
US / maɪt /
•UK / maɪt /
- other
- Used to politely request an action
- Used to express that something could happen
- Power, strength, force or influence
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
indefinite
US / ɪnˈdefɪnət /
•UK / ɪnˈdɛfənɪt /
- adjecitve
- Being unclear or not exact
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
most
US / məʊst /
•UK / most /
- adverb
- Very; extremely
- Greatest possible degree
- pronoun
- Nearly all of something
sentence
US / 'sentəns /
•UK / ˈsɛntəns /
- noun
- Official punishment given by a court of law
- Set of words that make a whole statement
- verb
- (Of a judge) to decide the punishment of
call
US / kɔ:l /
•UK / kɔl /
- noun
- A order or request for action
- The sound an animal makes, often when in danger
- A correct prediction, e.g. a decision in a game
- A short visit to a place or person
- A decision by a referee or umpire in a game
- verb
- To make a request or order for action
- (Animal) to make sounds to warn of danger
- To announce the date of an election
- To make a judgment about something
- To give someone or something a name
- To guess in advance the result or outcome
- To visit a place or person for a short time
- To phone someone
- To speak, announce or shout in a loud voice
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
any
US / 'enɪ /
•UK / ˈɛni /
- adjecitve
- One, or some, no matter which
- pronoun
- One (thing) of many; some
come
US / kʌm /
•UK / kʌm /
- verb
- To arrive at a place
- (Of mail) to be delivered
- To move toward someone; go with someone
- To reach a certain point or state
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
something
US / ˈsʌmθɪŋ /
•UK / ˈsʌmθɪŋ /
- adverb
- In some degree or measure
- noun
- a person or thing of some value or consequence
- pronoun
- Thing that is not yet known or named
- Approximately
another
US / əˈnʌðə(r) /
•UK / əˈnʌðɚ /
- adjecitve
- One more, but not this
- determiner
- One more added
- pronoun
- One more (thing)
rectangle
US / ˈrektæŋgl /
•UK / ˈrɛkˌtæŋɡəl /
- noun
- Four-sided geometrical shape with all right angles
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
know
US / nəʊ /
•UK / noʊ /
- verb
- To be familiar with a person or place, thing
- To feel sure or be convinced about something
- To discover or be aware of something
- To be able to distinguish
- To have knowledge of things
see
US / si: /
•UK / si /
- verb
- To go on a date with someone
- To predict whether something is, or will be true
- To understand what someone says
- To use your eyes to look at something
- To visit a place often for sightseeing or pleasure
- To visit or meet with someone
- To find out by waiting or looking
- To watch (a game, movie or TV show)
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect