integral of function definite in piece with multiple variable

I need to calculate the fourier transform of a function

can you show me how to run this code and also how to run using syms

thank you

clear
r0=@(t)  (t<0);
r1=@(t) (t>=0 & t<1);
r2=@(t) (t>=1);
r3=@(t) (t>=1 & t<2);
r4=@(t) (t>=2);


p=@(t) (r0(t).*0+r1(t).*1+r2(t).*0);

P=@(w)(integral(p.*exp(complex(0,-w*t))/sqrt(2*pi),-inf,+inf));

Answer 1

[Walter Roberson]

 P = @(w) integral( @(t) p(t) .* exp(complex(0,-w*t))/sqrt(2*pi),-inf,+inf);