Question: Solve Integral

Hi there,

I am trying to do a Fourier transform of the function

f(t) = 3*cos(2000*Pi*t)

I use Fourier transform definition to solve the following integral in Maple:

Int(3*cos(2000*Pi*t)*exp(-(I*2)*Pi*f*t), t = -infinity .. infinity)

I get the answer as "undefined".

The correct answer is:

(3/2)*delta(f+1000)+(3/2)*delta(f-1000)

Thanks!

Vhha

 

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