how to define a function

i just want to define a function of two variables,the

c_x_y=2/d*(int(cos(x*pi/d*z)*zy,z,0,d));

and x,y belongs to intergers form 0,if a change it to the Specific numbers, it will calculate the values such as

c_0_0=2/d*(int(cos(0*pi/d*z)*z0,z,0,d));
 
c_0_1=2/d*(int(cos(0*pi/d*z)*z1,z,0,d));
 
c_0_2=2/d*(int(cos(0*pi/d*z)*z2,z,0,d));

c_0_3=2/d*(int(cos(0*pi/d*z)*z3,z,0,d));

c_0_4=2/d*(int(cos(0*pi/d*z)*z4,z,0,d));

c_0_5=2/d*(int(cos(0*pi/d*z)*z5,z,0,d));

Answer 1

[madhan ravi]

Just create a function with an input that changes and the just call it to find the integral.

doc function% read it

Answer 2

[Walter Roberson]

syms x y z d pi
c_x_y = @(x,y) 2/d*(int(cos(x*pi/d*z)*sym(sprintf('z%d',y)),z,0,d));

This expects y to be a non-negative integer in order to generate the zy variable properly.

x is not required to be an integer. When it is a non-zero integer, then c_x_y will come out as 0.

[dcydhb dcydhb]

why got this?

clc;
clear all;
close all;

syms x y z d pi
syms c_1_1

x=1;
y=1;

c_x_y = @(x,y) 2/d*(int(cos(x*pi/d*z)*sym(sprintf('z%d',y)),z,0,d))

c_1_1

got this

c_x_y = 

    @(x,y) 2/d*(int(cos(x*pi/d*z)*sym(sprintf('z%d',y)),z,0,d))

 
c_1_1 =
 
c_1_1
 

[Walter Roberson]

syms c_1_1

does not invoke c_x_y with parameters (1,1) . You would need

c_1_1 = c_x_y(1,1)