## Question

###### 12.sin(<" ) dz, where 21 =u, 2 =F0 23 [21,22,23,21] e: 13. dz. Jcsto) 2+214.fv2+2.+3)d: where is any path joining 0 to 1. 15. L(H)" 2d2. 3i 16. dz, where ~(t) = e"t + 2,0<t < 2t [Hint: Show that the patk 2i is closed and the integrand is analytic in a region containing the path:] 17. dz, where ~(t) = i+e",0 < t < 2T. 2 +1

12. sin(<" ) dz, where 21 =u, 2 =F0 23 [21,22,23,21] e: 13. dz. Jcsto) 2+2 14. fv2+2.+3)d: where is any path joining 0 to 1. 15. L(H)" 2d2. 3i 16. dz, where ~(t) = e"t + 2,0<t < 2t [Hint: Show that the patk 2i is closed and the integrand is analytic in a region containing the path:] 17. dz, where ~(t) = i+e",0 < t < 2T. 2 +1

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