Numeric Integration for Fourier Transform

I need to do a fourier transform of a function that I have only a vector for.

So given a vector y and time t.

t= linspace(0,5)

y was calculated using impulse()

How do I integrate:

Y(w) = int(y*exp(-j*w*t),t)

?

%System A: H(jw) = 2/(jw+2)
t = linspace(0,5);
num = [0 2];
den = [1 2];
sys_A = tf(num, den);
figure;
impulse(sys_A, t)

hA = impulse(sys_A,t);
for t1 = 1:length(t)
    hA1 = hA(t1)*exp(-j*w*t1);
end
HA = trapz(t, hA1);
figure;
ezplot(HA)