Consider the integral \(\displaystyle\oint_C \dfrac{\sin (x)}{x^2 (x^ – McqOptions

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1.	Consider the integral \(\displaystyle\oint_C \dfrac{\sin (x)}{x^2 (x^2 + 4)}dx\)Where C is a counter-clockwise oriented circle defined as \|x - i\| = 2. The value of the integral is
A.	\(\dfrac{\pi}{4} \sin (2i)\)
B.	\(\frac{\pi i}{2}-\dfrac{\pi}{8} \sin (2i)\)
C.	\(\dfrac{\pi}{8} \sin (2i)\)
D.	\(-\dfrac{\pi}{4} \sin (2i)\)
Answer» C. \(\dfrac{\pi}{8} \sin (2i)\)

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