Question
\text { If } C \text { is the curve } y=x^{3}-3 x^{2}+4 x-1 \text { joining points } i \text { and } 3 i \text {, find the } \text { value of } \int_{C}\left(12 z^{2}-4 i z\right) d z \text { by two different methods. }
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