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An integral and an anti-derivative are the same thing.

Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.

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Q: What is the difference between integration and anti-derivatives?
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What is the difference between Integration and differentiation?

integration is reverse of differentiation and vice versa


What are the different uses of integration calculator?

Integral calculators calculate definite and indefinite integrals (antiderivatives) for use in calculus, trigonometry, and other mathematical fields/formulations.


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 anti-derivatives and definite integrals?

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.


How is integration through substitution related to the Chain Rule?

i love wikipedia!According to wiki: In calculus, integration by substitution is a method for finding antiderivatives and integrals. Using the fundamental theorem of calculus often requires finding an antiderivative. For this and other reasons, integration by substitution is an important tool for mathematicians. It is the counterpart to the chain rule of differentiation.

Related questions

What is the difference between Integration and differentiation?

integration is reverse of differentiation and vice versa


What are the different uses of integration calculator?

Integral calculators calculate definite and indefinite integrals (antiderivatives) for use in calculus, trigonometry, and other mathematical fields/formulations.


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 difference between vertical integration and diversification?

Diversification is when someone's tight clit is sniffed and integration is when the clit is jizzed on


What is the difference between virtual integration and vertical integration?

Virtual Integration is to have control on the departments or businesses in the chain without owning them.where, Vertical Integration is like owning the departments or businesses in the chain.


What is difference between anti integration and derivative?

In all but very exceptional cases there is no difference.


What is the connection between anti-derivatives and definite integrals?

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.


How is integration through substitution related to the Chain Rule?

i love wikipedia!According to wiki: In calculus, integration by substitution is a method for finding antiderivatives and integrals. Using the fundamental theorem of calculus often requires finding an antiderivative. For this and other reasons, integration by substitution is an important tool for mathematicians. It is the counterpart to the chain rule of differentiation.


What is the difference between integrity and integration?

Interrogation is where you force someone to tell you and integrate is totally the opposite


What is the difference between integration and derivation?

Integration results in an equation which gives the area under the original equation between the bounds. Derivation results in an equation which gives the slope of the original line at any point.


What is the difference or relation between application of iso and cmmi?

CMMi means Capability Maturity Model Integration


What is difference between numerical integration and continuous system simulation?

No I don't know... Plz give me the right answer