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Integration

There are many real world applications of integration. Integration is the reverse process of differentiation. You will learn about integration in the branch of mathematics called Integral Calculus. Below is the definition of integration. There are a few techniques to use when solving integration problems.

What is integration?

Integration is the process of finding the integrals of a function. You will come across two types of integrals: infinite integrals and finite integrals. Integration is the reverse operation of differentiation. Integration is sometimes referred to as antidifferentiation. Antiderivatives is, therefore, another name for integrals. The action of finding the integral of a function is to 'integrate'. All indefinite integrals differ by an arbitrary constant, usually denoted by C.

Terminology of integration

∫f(x) dx = F(x) + C where F'(x) = f(x)

Where: 

∫f(x) dx

is the indefinite integral of the function f(x)

is the integration sign
f(x) is called the integrand and is the function that is being integrated
dx indicates that x is the variable of the integration process
F(x) is the antiderivative and is sometimes the integral
C is the constant of the integration process

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