Using int for fun.

the question is attached I have to answer, but I'm having problems.

I tried writing like this

fun = @(t,w)exp((-1i).*w.*t);

q=integral(@(t)fun(t,w),-1,1);

int() is recommended, but can it be written like above?

Answer 1

[Star Strider]

You are close to solving it. You need to express ‘q’ as an anonymous function of ‘w’, then evaluate that function over the interval (-10,10):

fun = @(t,w)exp(-1i.*w.*t);
q = @(w) integral(@(t)fun(t,w),-1,1, 'ArrayValued',true);

wv = linspace(-10, 10);

figure(1)
plot(wv, real(q(wv)), '-b',    wv, imag(q(wv)), '-r')
grid

So yes, you can use integral to evaluate the Fourier transform of your function. (It never occurred to me to do this, so I learned something.)

[doyoun Kim]

Thx a lot

[Star Strider]

As always, my pleasure.