# The Definite Integral of a Linear Function

In this tutorial we shall find an example of a definite integral of a linear function from limits 1 to 2.

The integration is of the form

We use the basic rule of definite integral $\int\limits_a^b {f\left( x \right)dx = \left| {F\left( x \right)} \right|_a^b} = \left[ {F\left( b \right) - F\left( a \right)} \right]$, and we have