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