Integral with complex bounds

Hello,

I'm studying for the exam and in the previous one there's a question like:

1. The problem statement, all variables and given/known data

Find the value of

1/(2*i*pi) ∫ exp(s*u)/s² ds for s from 1-i∞ to 1+i∞



What is the way to solve integrals with complex bounds ? Is it to make a variable change to get real bounds, like here for example s=1+iz and then use residus to solve the integral ?



Thanks