How to do Fourier Integrals on the HP Prime?

[Stevetuc]

Here are two methods on the prime to get same result as the fourier integral on page 16_46 of Hp50g AUG

Modified laplace transform of e^(-t)

Code:


1/(√(2*π))*subst(laplace(e^(-t),t,s),s = (i*w))

Integral

Code:


1/(√(2*π))*int(e^(-t)*e^(-(i)*w*t),t,0,∞)

Both give result

Code:


1/(√(2*π)*(i*w+1))

Simplify set to minimum

Ive verified that both forms agree for e^(-t)*sin(t) too.