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numerical integration


hi,
i have a pretty nasty double integral which i need to solve numerically but mathematica gives me  error messages when i try to solve  it straightforward using NIntegrate

the integrand is:

Exp[-I*\[Lambda]*(x+y)]*(x-y)*((Sinh[Pi*(x+I*\[Epsilon])]*Sinh[Pi*(y-I*\[Epsilon])])^-2 -(Sinh[Pi*(x-I*\[Epsilon])]*Sinh[Pi*(y+I*\[Epsilon])])^-2)

in the limits x=-infinity..infinity, y=-infinity..infinity

with epsilon==>0

i'm new to mathematica  and will  appreciate any suggestions


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