Example 6.1. Show
that
.
Explore Solution 6.1.
Method (i). Expand the integrand f[t] into its real and imaginary parts, then integrate u[t] and v[t].
![[Graphics:../Images/ComplexIntegralMod_gr_15.gif]](../Images/ComplexIntegralMod_gr_15.gif)
Method (ii). Compute the integral directly using a complex function for the integrand.
![[Graphics:../Images/ComplexIntegralMod_gr_17.gif]](../Images/ComplexIntegralMod_gr_17.gif)