The discussion revolves around the integration of a function involving complex exponentials, specifically the integral of the expression \(\int[( e^x + 4 )/ (4e^x + 1) ]^2\). Participants are exploring methods to approach this integration problem.
Some participants are considering the substitution approach, and one participant has suggested that this will lead to a rational function that can be integrated using partial fractions. There is a sense of progression as participants begin to clarify their thoughts and explore different methods.
No substitutions have been given initially, and participants are navigating the implications of using substitution in the context of the problem.
Jadaav said:Homework Statement
\int[( e^x + 4 )/ (4e^x + 1) ]^2
Homework Equations
No substitutions have been given.
The Attempt at a Solution
I've tried using the method of f' (x)/f (x). But it was in vain.
I haven't been able to do it. I don't really know where to start.
Jadaav said:Actually I was thinking about the substitution. But I have one question; an exponential function is not linear. So if I use substitution does it become a linear one ?