engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Complex Variables Residue Theorem
Let (-1 - j), (3 - j), (3 + j) and (-1 + j) be the vertices of a rectangle C in the complex plane. Assuming that C is traversed in counter-clockwise direction, the value of the countour integral \(\displaystyle\oint_C \dfrac{dz}{z^2 (z-4)}\) is
1
0
2
jπ/16
3
jπ/2
4
-jπ/8