Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem
The closed loop line integral \(\mathop \oint \limits_{\left| z \right| = 5}^\; \frac{{{z^3} + {z^2} + 8}}{{z + 2}}dz\) evaluated counter-clockwise, is
1
+8jπ
2
-8jπ
3
-4jπ
4
+4jπ