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What is integration and differentiation?

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What is integration and differentiation?
  • 2 answers

Abirami Kamalbabu 3 years, 10 months ago

In calculus, differentiation means dividing a whole into many parts and integration means adding up several parts into whole.

Yogita Ingle 3 years, 10 months ago

Differentiation is the essence of Calculus. A derivative is defined as the instantaneous rate of change in function based on one of its variables. It is similar to finding the slope of a tangent to the function at a point.

Integration is a method to find definite and indefinite integrals. The integration of a function f(x) is given by F(x) and it is represented by:

where

R.H.S. of the equation indicates integral of f(x) with respect to x

F(x) is called anti-derivative or primitive.

f(x) is called the integrand.

dx is called the integrating agent.

C is the constant of integration or arbitrary constant.

x is the variable of integration.

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