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Please use Cauchy Integral Formula, Extended Integral Formula, and/or Cauchy Integral Theorem. compute C z 2 ( z 4 ) s i n z d

Please use Cauchy Integral Formula, Extended Integral Formula, and/or Cauchy Integral Theorem.

  1. compute Cz2(z4)sinzdz, where C is the circlez=2 oriented in the positive direction
  2. compute C(z+1)4e2zdz, where C is the circlez=3 oriented in the positive direction
  3. compute Cz2sin3zdz, where C is the circlez=4 oriented in the positive direction
  4. compute Cz29ezdz, where C is the circlez=2 oriented in the positive direction
  5. compute Cz223z2dz, where C is the square with vertices 2+2i,2+2i,22i,and22ioriented in the positive direction

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