1.

An integral I over a counterclockwise circle C is given by\(I = \mathop \oint \limits_C^\; \frac{{{z^2} - 1}}{{{z^2} + 1}}{e^z}dz.\)If C is defined as |z| = 3, then the value of I is

A. -πi sin (1)
B. -2πi sin (1)
C. -3πi sin (1)
D. -4πi sin (1)
Answer» E.


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