324 C HAPTER 8 • RESIDUE THEOltY
- EXAMPLE 8.23 Evaluate P.V. Jo"'° x(::i) dx, where 0 <a< 1.
Solution The function f (z) = z(;: 1 ) has a nonzero pole at the point - 1, and
the de nominator has a zero of order at most 1 (in fact, exactly 1) at the origin.