Solve an definite integral with variable constants

I don't know why I am having such a hard time with this.

I am trying to solve a definite integral with additional constant variables, but MATLAB doesn't want to compute it.

I want to do something along these lines, and have my final answer involve 'n'.

clear;clc;
syms t n
T=2*pi
A_0=@(t) 1/2*pi
A_n(t)=@(t) (2/T)*cos(n*t)
B_n(t)= (2/T)*sin(n*t)
A0=integral(A_0,-pi,pi)
An=integral(A_n,-pi,pi)
Bn=integral(B_n,-pi,pi)

Answer 1

[Walter Roberson]

syms t n
Pi = sym(pi)

Pi = 

π

T=2*Pi

T = 

A_0(t) = 1/2*Pi

A_0(t) = 

A_n(t) = (2/T)*cos(n*t)

A_n(t) = 

B_n(t) = (2/T)*sin(n*t)

B_n(t) = 

A0 = int(A_0, t, -Pi, Pi)

A0 = 

An = int(A_n, t, -Pi, Pi)

An = 

Bn = int(B_n, t, -Pi, Pi)

Bn = 

0

[Kyle Langford]

You are a beast Walter!

Thank you.