In this tutorial we shall explain integration of the natural logarithmic function . It is an important integral function, but there is no direct method to find it. We shall find the integration of by using the integration by parts method.
The integration of is of the form
When using integration by parts it must have at least two functions, however here there is only one function: . So consider the second function as . Now the integration becomes
The first function is and the second function is
Using the formula for integration by parts, we have
Using the formula above, equation (i) becomes
Now in further study of integration we can use this integration of as a formula.