6) Evaluate ∮c ze^{z)/(z-1)²(z²+4) dZ,Where C is |z-1|=1 by using Cauchy integral formula for derivatives.
Named after its inventor Pierre-Simon, Laplace, is an integral transform that converts a function of a real variable, (often time) to a function of a complex variables (complex frequency). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms linear differential equations into algebraic equations and convolution into multiplication
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