23. \( \int_C e^z dz \), C the shortest path from \( \pi i \) to \( 2 \pi i \)
24. \( \int_C \cos 2z dz \), C the semicircle \( |z| = \pi \), \( x \ge 0 \) from \( -\pi i \) to \( \pi i \)
25. \( \int_C z \exp(z^2) dz \), C from 1 along the axes to i
26. \( \int_C (z + z^{-1}) dz \), C the unit circle, counterclockwise
27. \( \int_C \sec^2 z dz \), any path from \( \pi/4 \) to \( \pi i/4 \)
28. \( \int_C \left( \frac{5}{z - 2i} - \frac{6}{(z - 2i)^2} \right) dz \), C the circle \( |z - 2i| = 4 \), clockwise
29. \( \int_C \text{Im } z^2 dz \) counterclockwise around the triangle with vertices 0, 1, i