Given a line L that goes from  l-\infty i to  l+\infty i and a line C that goes from  c+\infty i to  c-\infty i ,  l \neq c, \; l,c > 0 , and a function  f(z) such that  f(z) is analytic everywhere in the strip aside from one pole inside the strip. Call the residue at that point  S .

Is it true that  \int_{L} f(s)ds + \int_{C} f(s)ds = 2\pi i S ?