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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


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 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.


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 was the difference between segregation and integration?

Segregation is the enforced separation of different racial or ethnic groups, often leading to unequal treatment and opportunities. Integration, on the other hand, aims to bring together these groups in a unified setting, promoting equality and inclusivity. Basically, segregation divides while integration unites.


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 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.


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 segregation and integration?

Segregation refers to the separation of different groups based on race, ethnicity, or other characteristics, often leading to inequality and discrimination. Integration, on the other hand, involves bringing together diverse groups to promote equality and inclusivity in society.


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 difference between globalization and integration?

Globalization refers to the interconnectedness and interdependence of economies, cultures, and societies globally. Integration refers to the process of linking individual components or entities to form a unified whole. In the context of globalization, integration often refers to the process of countries or regions coming together through agreements, alliances, or common policies to facilitate global trade and cooperation.


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