Question: Please solve this, the course name is Complex Variables. 2. [18 marks] Evaluate the following integrals: 1 / E dz, where '7 represents the unit

Please solve this, the course name is Complex Variables.

2. [18 marks] Evaluate the following integrals: 1 / E dz, where '7 represents the unit circle, traversed counterclockwise. 'v / dz, where 7 represents the circle of radius one and centre 22', traversed counterclockwise. z 7 l / 22 dz, where 7 represents any circle centred at the origin. 1 Do any of these results contradict the result we derived in class about integrals of analytic functions over closed curves? Do any of them add to that result? Why or why not

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