"I would like to integrate the following equation. It is a chemical

rate equation (Arrhenius) where I have temperature & relative humidity
as functions of time. Both are sinusoidal, reflecting a typical yearly
climate":
e^-(Integral(k*RH(t))dt), where k=Ae^-(E/R*T(t)) and
RH(t) = 0.7+0.1*Sin(0.01t), T(t) = 300+4.5*Sin(0.01t).