Integral of secant inverse it is an important integral function, but it has no direct method to find we shall find the integration of secant inverse by using integration by parts method.

The integral of secant inverse is of the form

To solve this integration, it must have at least two functions, it in this function it has only one function that is

, now consider second function as

. Now the integration becomes

Take first function is

and second function will be

Using formula for integration by parts, we have

Equation (i) becomes using above formula, we have

It can be written in the form, we get

Using formula

we have

Now further we can use this integration of secant inverse as a formula.

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