# Thread: integrals in complex plane.

1. ## integrals in complex plane.

Find the value of the integral f(z)dz when
a) f(z) = (sinhz - z)/ (z^2*sinhz) and C is the rectangle bounded by the lines x=-1, x=1 and y=-1 and y=4 oriented counterclockwise

2. Originally Posted by altanl
Find the value of the integral f(z)dz when
a) f(z) = (sinhz - z)/ (z^2*sinhz) and C is the rectangle bounded by the lines x=-1, x=1 and y=-1 and y=4 oriented counterclockwise
Determine the singularities of f(z) that lie inside the rectangle and apply the residue theorem.