Question: Evaluate the following line integrals using any method:(a)Cbar(z)2dz, where C is given by z(t)=t2+it3 for 0t1(b)Ce3zdz, where C is any smooth curve from 2-i to
Evaluate the following line integrals using any method:(a)Cbar(z)2dz, where C is given by z(t)=t2+it3 for 0t1(b)Ce3zdz, where C is any smooth curve from 2-i to 1+i(a) Evaluate C(0;1)bar(z)dz, and then explain why your answer shows that f(z)?b=ar(z) does not have an antiderivative.(b) Show that C(z0;r)(z-z0)ndz=0 for all ninZ??{-1}, where z0inC and r>0. What happens when n=-1?
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