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What is the connection between anti-derivatives and definite integrals?
Wiki User
∙ 16y ago
Definite integrals are definite because the limits of integration are prescribed. It is also the area enclosed by the curve and the ordinates corresponding to the two limits of integration. Antiderivatives are inverse functios of derivatives. If the limits of the integral are dropped then the integration gives antiderivative. Example Definite integral of x with respect to x between the value of x squared divided by 2 between the limits 0 and 1 is 1/2. Antiderivative of x is x squared divided by two.
Wiki User
∙ 16y ago
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Could Give and explain the two basic classifications of calculus?
People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.
What is the difference between definite integral and line integral?
Both kinds of integrals are essentially calculations of areas under curves. In a definite integral the surface whose area is to be calculated is planar. In a line integral the surface whose area to be calculated might occupy two or more dimensions. You might be interested in the animated diagrams in the wikipedia article for the line integral.
When you find particular integral then why you not add constantof integration?
Where you refer to a particular integral I will assume you mean a definite integral. To illustrate why there is no constant of integration in the result of a definite integral let me take a simple example. Consider the definite integral of 1 from 0 to 1. The antiderivative of this function is x + C, where C is the so-called constant of integration. Now to evaluate the definite integral we calculate the difference between the value of the antiderivative at the upper limit of integration and the value of it at the lower limit of integration: (1 + C) - (0 + C) = 1 The C's cancel out. Furthermore, they will cancel out no matter what the either antiderivatives happen to be or what the limits of integration happen to be.
Probability can be defined as a between the number of?
Between the numbers of 0 and 1, 0 being never and 1 being definite
What does a definite integral tell you?
It tells you the area of the function (curve) between the two limits.
Could Give and explain the two basic classifications of calculus?
People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.
What is the main difference between numerical methods used to determine integrals?
Because it is STUPID
What is the difference between definite integral and line integral?
Both kinds of integrals are essentially calculations of areas under curves. In a definite integral the surface whose area is to be calculated is planar. In a line integral the surface whose area to be calculated might occupy two or more dimensions. You might be interested in the animated diagrams in the wikipedia article for the line integral.
Can rheumatoid arthritus be passed in the genes?
Yes there seems to be a definite connection between the incidence of RA among people whose parent or parents also had trouble with it.
When you find particular integral then why you not add constantof integration?
Where you refer to a particular integral I will assume you mean a definite integral. To illustrate why there is no constant of integration in the result of a definite integral let me take a simple example. Consider the definite integral of 1 from 0 to 1. The antiderivative of this function is x + C, where C is the so-called constant of integration. Now to evaluate the definite integral we calculate the difference between the value of the antiderivative at the upper limit of integration and the value of it at the lower limit of integration: (1 + C) - (0 + C) = 1 The C's cancel out. Furthermore, they will cancel out no matter what the either antiderivatives happen to be or what the limits of integration happen to be.
What is the connection between immigration and urbanization?
what is the connection between urbanization and Immigration
Relationship between integral and derivative?
The Derivative is the instantaneous rate of change of a function. An integral is the area under some curve between the intervals of a to b. An integral is like the reverse of the derivative, Derivatives bring functions down a power, integrals bring them up, in-fact indefinite integrals (ones that do not have specifications of the area between a to b) are called anti derivatives.
How do you put connection in a sentence?
i can not see the Connection. Do you feel the Connection with this place?
What is the difference between the state of matter?
the difference between the three states of matter is that a solid has a definite shape and volume. a liquid does not have a definite shape but does have a definite volume. gas does not have either.
What has the author Kurt Alder written?
Kurt Alder has written: 'Electromagnetic excitation' -- subject(s): Electromagnetic interactions, Ion bombardment, Coulomb excitation 'Tables of the classical orbital integrals in Coulomb excitation' -- subject(s): Definite integrals, Coulomb functions 'Matrix elements between states in the Coulomb field' -- subject(s): Matrix mechanics, Coulomb functions 'On the theory of multiple Coulomb excitation with heavy ions' -- subject(s): Ions, Hypergeometric functions, Matrix mechanics, Coulomb functions
Why a gas has no definite shape and no definite volume for 6 class gov?
gas does not have a definite shape but has a definite volume. it has no definite shape because there is a lot of vacant space between the gas molecules.
What is the integral of 500096?
Constants can be integrated by multiplying the integrand(thing being integrated) times the difference between the starting point a and the ending point b i.e the integral from 0 to 10 would be 5,000,960 Depends. Are you referring to an indefinite integral (a plain ∫) or a definite integral? I'm not sure about this(i've only spent 2 days learning about integrals), but the indefinite integral of 500096 is 500096x+C. The definite integral of 500096 depends on what are your limits. Look at the answer above.
