cmi-entrance 2015 Q9

cmi-entrance · India · pgmath 4 marks Not Maths

Let $C := \{z \in \mathbb{C} : |z| = 5\}$. What is value of $M$ such that $$2\pi\imath M = \int_{C} \frac{1}{z^{2}-5z+6}\,\mathrm{d}z\,?$$

Let $C := \{z \in \mathbb{C} : |z| = 5\}$. What is value of $M$ such that
$$2\pi\imath M = \int_{C} \frac{1}{z^{2}-5z+6}\,\mathrm{d}z\,?$$