MATLAB: Symbolic entry of rem function

Question

When entering the following symbolic code using the remainder (rem) function, Matlab returns x(t,P) = 0, which is clearly wrong.

syms t P

x(t, P) = rem(t,P);

x

I have tried all combinations of sym, syms, symfun, but the result is the same. I need to enter the symbolic function x = rem(t,P) to perform symbolic integration on it over the period t = [0:P].

Help is appreciated, thanks

Answer 1

Wrong function. Use mod instead for symbolic operations:

syms t P
x(t, P) = mod(t,P);
x

returns:

x(t, P) =
t*(1 mod P)