Consider the following function in which * (super star) stands for complex conjugate (I have used “Quantum package” which recognizes *):

f=E^((-0.1 - 1.67033 I) t + (0.1 -   1.67033 I) u) (((0.5 -       0.329276 I) E^((0. + 3.34066 I) t) + (0.5 +       0.329276 I) E^((0. + 3.34066 I) u)) SuperStar[((0.5 -       0.329276 I) E^((-0.1 + 1.67033 I) t + (0.1 -         1.67033 I) u) + (0.5 +       0.329276 I) E^((-0.1 - 1.67033 I) t + (0.1 +         1.67033 I) u))] + (-0.598684 E^((0. + 3.34066 I) t) +    0.598684 E^((0. +        3.34066 I) u)) SuperStar[(-0.598684 E^((-0.1 +         1.67033 I) t + (0.1 - 1.67033 I) u) +    0.598684 E^((-0.1 - 1.67033 I) t + (0.1 + 1.67033 I) u))]) 

I want to integrate over this function with the assumption that t and u are real parameters. I have tried the followings, but none of them worked:

Integrate[f , {u, 0, t},  Assumptions -> Element[u | t, Reals]]  Integrate[f , {u, 0, t},  Assumptions -> {t \[Element] Reals, u \[Element] Reals}]  Integrate[f, {u, 0, t},  Assumptions -> t \[Element] Reals && u \[Element] Reals]