# Question:Symbolic Integration

## Question:Symbolic Integration

Maple 2015

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 Cp(T), with constants C1, C2, 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(Cp(T), T=Tref..Tsys) 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(Cp(T), T=Tref..Tsys) = C1*(T2-T1) + C2*C3[coth(C3/T2) - coth(C3/T1)] - C4*C5[tanh(C5/T2)-tanh(C5/T1)]

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.

﻿