Then using the following result by Sir Leonard Euler,
We will convert it as follows by saying , dividing and to both sides,
Applying the Taylor series of the logarithm,we get,
Splitting the integral part we yield,
Then realising that the integral with is simply but,
I'll show this result in the next discussion ,right now let's take it for granted.Inputting it to the integral and dividing both sides by we get this surprising result ,
Corollary c=1-b and z=1 we get the reflection equation of diagamma function i.e.
So it also provides an alternative representation of the Cotangent function and as always another wonderful equation is born.(Please report any problem in this discussion)