Issue 4138 in sympy: Fourrier transform of exponential and Closed Integrals

[sy...@googlecode.com]

Status: New
Owner: ----
Labels: Type-Defect Priority-Medium

New issue 4138 by geoffrey...@gmail.com: Fourrier transform of exponential
and Closed Integrals
https://code.google.com/p/sympy/issues/detail?id=4138

Hi,

when i do:
gaussian = E** (- abs(x)) /2
fourier_transform(gaussian, x, k)

I get:
1/(4*pi**2 * k**2 + 1)

which is what I expected.

However, when I try to find the Fourier transform from the actual Fourier
equation:

expr = E**(-2*pi*I*k*x) * E** (- abs(x)) /2
exp.expand().integrate(x)

it returns:
'Integral(exp(-I*k*x)*exp(-Abs(x))/2, x)'

Which is right but I would expect sympy to have found the simplified from:
1/(4*pi**2 * k**2 + 1)

Is it me who don't use sympy properly?







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