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How to do the complex variable function integral in mathematical physics method, the 2.5.6 problem of 3.8 and the 3. 10 problem?
Closed curve integral of complex variable function

If the complex function is analyzed in the corresponding closed region: integral =0.

If the complex variable function has non-analytic points in the corresponding closed region, it is solved by residue theorem.

These are definitely the graduate problems that I can't solve. Please refer to privat's complex variable theory.