An integral $$I$$ over a counter-clockwise circle C is given by $$I = \oint_{\text{C}} {\frac{{{{\text{z}}^2} - 1}}{{{{\text{z}}^2} + 1}}{{\text{e}}^{\text{z}}}{\text{dz}}{\text{.}}} $$
If C is defined as |z| = 3, then the value of $$I$$ is

A. -x² + y² + constant B. x² - y² + constant C. x² + y² + constant D. -(x² + y²) + constant

A. 1 + 6i B. 9 - 8i C. 9 + 8i D. 17 + 6i

A. $$2\sqrt 2 + 2{\text{i}}$$ B. $$\frac{{ - 1}}{2} + \frac{{{\text{i}}{{\sqrt 3 }^2}}}{2}$$ C. $$\frac{{\sqrt 3 }}{2} - {\text{i}}\frac{1}{2}$$ D. $$\frac{{\sqrt 3 }}{2} - {\text{i}}\frac{1}{8}$$

A. 2πnj B. 0 C. $$\frac{{\pi {\text{j}}}}{{2\pi }}$$ D. 2πn