Just trying Maple again after 10+ years, so please bear with me. I am basically trying to do a symbolic integration, where the output should be the antiderivative of the function I am integrating. However, I have not been able to succesfully get the output I expect.

I defined a function C_{p}(T), with constants C_{1}, C_{2}, etc. like so:

C__p := T -> C__1+C__2(C__3/(T*sinh(C__3/T)))^2+C__4(C__5/(T*cosh(C__5/T)))^2

But when I integrate the function using int(C_{p}(T), T=*T*_{ref}..T_{sys}) it does not output the antiderivative as I would expect. This is what I am looking for, but it just gives me the equation within the integral sign without symbolically solving integral. Can this be done?

It should be,

int(C_{p}(T), T=*T*_{ref}..T_{sys}) = C_{1}*(*T*_{2}-*T*_{1}) + C_{2}*C_{3}[coth(*C*_{3}/*T*_{2}) - coth(*C*_{3}/*T*_{1})] - C_{4}*C_{5}[tanh(C_{5}/T_{2})-tanh(C_{5}/T_{1})]

Trivial integrals such as int(x2,x) = 2x solve okay, so I am assuming I setup the problem incorrectly. I just cannot figure out what I did wrong, and it is driving me crazy. I already wasted more time than is healthy on this. Any help would be greatly appreciated. Thanks.