(a) Evaluate $\int_{a}^{b} f(z) \, dz$ along the curve given by $x =…
Previous year question for Mathematics-III.
Question
(a) Evaluate $\int_{a}^{b} f(z) \, dz$ along the curve given by $x = t + 1$, $y = 2t^2 - 1$, where $a = 1 - i$, $b = 2 + i$, and $f(z) = 2x + iy + 1$.
(b) Evaluate $\oint_{C} \frac{(5z+3)}{(z+1)(z-2)} \, dz$ where $C$ is the circle $|z| = 3$, using Cauchy integral formulae.
- Year: 2022
- Subject: Mathematics-III