Thank you. The solution leaves an aftertaste - as it is not really beautiful or elegant, it does not “feel” like a solution. There is a psychological question: when is something a solution ? Anyone has an opinion ?
The right hand side has no integral sign and is explicitly the anti derivative of the integrand's function. That's literally all that's needed to "solve" integral equations. For this function there is no antiderivative that can be represented by elementary functions
