I need to evaluate the following integral
It seems there is no closed from expression for this integral. But if we do the power series expansion for either or , then the closed form is possible but with an infinite power series. Kindly suggest if any alternative is available?
The limits of the integral is from to , where is a non negative constant. After solving the integral through series expansion, I got a series of the form
I want to truncate the series. But the range of is to . Also is increasing with . The series seems to be divergent for . How to truncate this type of series?
Is this correct way to solve this integral or any other alternative is possible?
If there is no other alternative to solve this kind of integral, can you please suggest a method to truncate the divergent series.