Question
Evaluate \(\int_5^{3i}\frac{dz}{z}\) along the straight line segment from 5 to 3i.
The correct answer is
−0.511 + 1.571i
Along the straight segment in the first quadrant, the continuous argument changes from 0 to π/2. The integral is ln(3/5)+iπ/2≈−0.511+1.571i.
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