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For example, the derivate of x2 is 2x; then, an antiderivative of 2x is x2. That is to say, you need to find a function whose derivative is the given function. The antiderivative is also known as the indifinite integral. If you can find an antiderivative for a function, it is fairly easy to find the area under the curve of the original function - i.e., the definite integral.

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Q: How integration is reverse process of differentiation?
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What the differentiation and anti-differentiation formula?

There is no single formula for differentiation and anti-differentiation.The deriviative of a function y = f(x) is the limit of delta y over delta x as delta x approaches zero.OR:If f(x)=axn,f'(x)=(an)xn-1The deriviative of 2x3 would be 6x2.The anti-deriviative of a function is the reverse operation, i.e. the function is the deriviative of the anti-deriviative.Anti differentiation introduction:Anti differentiation is also called as integration process. It gives the reverse value of the differentiation equation. Anti differentiation is also called as anti derivative of the function. In this anti differentiation, f(x) is anti derivative of the function F(x). Anti differentiation is used for finding the area of the region under the certain curve. Anti differentiation symbol is denoted as ∫.General formula for anti differentiation:∫ xn dx = [xn + 1 / (n + 1)]+ c∫ k dx = k ∫ dx∫ udv = uv - ∫ v du∫ (w + y) dx = ∫ w dx + ∫ y dxanti-differentiation


What is the importance of differentiation and integration in real life?

There would be no modern technology without it. There would be no physics beyond the basic "high school" level. Physics leads to technology.


What is some vocabulary for calculus?

Calculus catch phrases:Dealing with two fundamental operations, differentiation and integration, carried out on functions.Purely theoretical aspects of these operations and their interrelation.Standard functionsDerivative of a function of one variable


What is differentiation of sin x?

differentiation of sin x + cos x.


What are some applications of differentiation in real life?

Yes if it was not practical it was not there. You can see the real life use on this link http://www.intmath.com/Applications-differentiation/Applications-of-differentiation-intro.php

Related questions

What is the difference between Integration and differentiation?

integration is reverse of differentiation and vice versa


Relationship between Integration and differentiation?

Integration and differentiation effectively un-do each other. The derivative of the integral of a function is usually the original function. The reverse is also true, to a point.


What is the difference between integration and anti-derivatives?

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.


What are the generalization about development?

variability -development is an orderly process. independence -different parts of body develop in largely independent patterns and sequences. differentiation -differentiation increases with development. integration -integration increases with development. predictability sequences in maturation are more predictable than rates of maturation. limitation -maturation sets the limits on learning.


How does the ALU performs integration and diffe rentiation?

The ALU only does Arithmetic and Logic. Integration and differentiation would be performed by software.


How does one do integration by parts?

Integration by parts is the integration of the product rule of differentiation. Used to transform a non-simple derivative integral into a simple antiderivative integral.


What the differentiation and anti-differentiation formula?

There is no single formula for differentiation and anti-differentiation.The deriviative of a function y = f(x) is the limit of delta y over delta x as delta x approaches zero.OR:If f(x)=axn,f'(x)=(an)xn-1The deriviative of 2x3 would be 6x2.The anti-deriviative of a function is the reverse operation, i.e. the function is the deriviative of the anti-deriviative.Anti differentiation introduction:Anti differentiation is also called as integration process. It gives the reverse value of the differentiation equation. Anti differentiation is also called as anti derivative of the function. In this anti differentiation, f(x) is anti derivative of the function F(x). Anti differentiation is used for finding the area of the region under the certain curve. Anti differentiation symbol is denoted as ∫.General formula for anti differentiation:∫ xn dx = [xn + 1 / (n + 1)]+ c∫ k dx = k ∫ dx∫ udv = uv - ∫ v du∫ (w + y) dx = ∫ w dx + ∫ y dxanti-differentiation


What is it called when a stem cell becomes specific type of cell?

differentiation.


What has the author Hugh Thurston written?

Hugh Thurston has written: 'Differentiation and integration' 'Partial differentiation' -- subject(s): Calculus, Differential, Differential calculus


How is math used in hacking?

Calculus is used primarily to hack into signals, your basic FFT analyzers which incorporate power series, etc .... if you use math to construct signals than the reverse can be applied. Thus integration and Differentiation.


The process which cells develop uniquie characteristics in structure and function is called?

The process by which cells develop unique characteristics in structure and function is called cell differentiation. During differentiation, cells acquire specialized features that enable them to perform specific roles in the body. This process is crucial for the proper functioning and organization of tissues and organs.


What is the differentiation and integration?

In Calculus, differentiation is when you apply the theorems to get the derived equation at a given rate, for example you have the velocity function and if you take its derivative, it will give you an acceleration function related to its velocity. Derivatives are often denoted as f'(x) or y'. Integration on the other hand is undoing differentiation. for ex, if you integrate acceleration equation, it will give you a velocity equation.