The integral of secant inverse it is an important integral function, but it has no direct method to find it. We shall find the integration of secant inverse by using the integration by parts method.
The integral of secant inverse is of the form
To solve this integration it must have at least two functions, however this has 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
It can be written in the form
Now we can also use this integration of secant inverse as a formula.