I am evaluating the following integral:

Int(5*exp(t)*exp(-2*j*pi*f*t), t = -infinity .. 0)+Int(5*exp(-t)*exp(-2*j*pi*f*t), t = 0 .. infinity)

Maple gives the answer:

limit((5*(exp(-2*Pi*f*j*t+t)-1))/(2*Pi*f*j-1), t = -infinity)+limit(-(5*(exp(-2*Pi*f*j*t-t)-1))/(2*Pi*f*j+1), t = infinity)

How do I solve for the limits?

The answer is:

10/[1+(2*Pi*f)^2]

Vhha