Question

Evaluate the following contour integrals along the indicated contours wishing the Fundamental Theorem whenever possible. Include a sketch of the contour, and include labeled points where the integrand is not analytic. Simplify answers as far as possible, writing in canonical form.

the integral over c of (1/z)dz, where c is the portion of the complex unit circle in the first quadrant, oriented counterclockwise

Answer 1