The integral of inverse cosecant it is an important integral function, but it has no direct method to find. We shall find the integration of inverse cosecant by using the integration by parts method.
The integral of inverse cosecant is of the form
To solve this integration it must have at least two functions, however it has only one function: . So consider 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 inverse cosecant as a formula.