Let the perimeter of the square formed by the points $0$, $1$, $1 + i$, $i$ and $z = x + iy$. How can i compute $$\int_{\gamma} x dz$$.
Some help to compute this complex integral please.
Let the perimeter of the square formed by the points $0$, $1$, $1 + i$, $i$ and $z = x + iy$. How can i compute $$\int_{\gamma} x dz$$.
Some help to compute this complex integral please.
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Split $\gamma$ into 4 segments which are easy to parametrize. Calculate the integral for each of these and sum the results.