I am currently trying to integrate a long string of fractional sine and cos terms with a cos term on the denominator and other exponential multipliers, but all variables and coefficients are real (and I have put this assumption in Maple).

When I integrate them on Maple it is automatically simplifying the result using Euler's rule to give me a complex fraction with a complex numerator and denominator. This is not very helpful as I need to use the result in further calculation,...