Calculate the following integral dz =? where C:|z 2| = 0.2 (z 2)3(z ...

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Calculate the following integral dz =? where C:|z – 2| = 0.2 (z – 2)3(z – 5) by using (a) Cauchy's integral formula (b) Cauchy's residue theorem (c) Laurent series expansion (draw the annulus and the contour explicity). Calculate the following integral dz =? where C:|z – 2| = 0.2 (z – 2)3(z – 5) by using (a) Cauchy's integral formula (b) Cauchy's residue theorem (c) Laurent series expansion (draw the annulus and the contour explicity).