Contour Integral

The magnitude of the contour integral $\oint_C \frac{(z+1)^2}{(z-i)(z-2)} dz$ over the contour C: $|z - 2 - i| = 3/2$ is _______ (Round off to two decimal places) Note: z is a comp...

Let $C$ be a clockwise oriented closed curve in the complex plane defined by $|\lambda|=1$. Further, let $f(x)=j z$ be a complex function, where $j=\sqrt{-1}$. Then, $\oint_C f(z)...

Let $(-1-j),(3-j),(3+j)$ and $(-1+j)$ be the vertices of rectangle $C$ in the complex plane. Assuming that $C$ is traversed in counter-clockwise direction, the value of contour int...

The value of the integral \oint_C \frac{z+1}{z^2-4} dz in counter clockwise direction around a circle C of radius 1 with center at the point z = -2 is

The value of the contour integral in the complex-plane ∫ (z³ - 2z + 3) / (z - 2) dz along the contour |z| = 3, taken counter-clockwise is

The value of the contour integral in the complex - plane $$\oint {{{{z^3} - 2z + 3} \over {z - 2}}} dz$$ along the contour $$\left| z \right| = 3,$$ taken counter-clockwise is

The value of the integral $$\oint\limits_c {{{2z + 5} \over {\left( {z - {1 \over 2}} \right)\left( {{z^2} - 4z + 5} \right)}}} dz$$ over the contour $$\left| z \right| = 1,$$ take...

Integration of the complex function $$f\left( z \right) = {{{z^2}} \over {{z^2} - 1}},$$ in the counterclockwise direction, around $$\left| {z - 1} \right| = 1,$$ is