integrate over a contour

Question

Please help me with this:

Find the value of $\displaystyle\int_{\gamma}\frac{e^z}{z-Logz}dz$, $\gamma$ is the positively oriented contour consisting of four vertices at $2, 4, 4+3i, 2+3i$

How many solutions of $z = \operatorname{Log} z$ are inside the rectangle? — Daniel Fischer, Mar 24 '14 at 16:20

score 0 · Answer 1 · answered Jan 08 '15 at 00:45

0

Hint: The function is holomorphic inside the region. Knowing this, is there any theorems you could use?

answered Jan 08 '15 at 00:45

Mike Miller

2,453

integrate over a contour

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