then
I am note sure what you are doing.
Given the integral,
You can do it by parts,
and
Thus,
and
But the question is,
What is,
You can write,
Let,
then,
Thus,
You can let,
and
Thus,
and
Then, we need to find what,
is?
To do that we can write,
Let,
and
Then,
and .
Thus, by parts,
But then what is?
You can write,
Let, then .
Thus,
This is certainly doable!
The details, and the actual integral I leave to you do complete. (Maybe, there is an easier way, but this is one of the longest I seen).