Math Problem Statement
Describe cauchy's fundamental theorem for evaluating complex intregal and justify the theorem for the function :
f(z) = z^3 + i(z)^2 -5z + 2i if C is the circle |z| = 1 described in the positive sense
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Analysis
Contour Integration
Formulas
Cauchy's Integral Theorem: \( \oint_C f(z) \, dz = 0 \)
Theorems
Cauchy's Integral Theorem
Suitable Grade Level
Undergraduate Mathematics
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