# Hmm.. It looks complex.

Calculus Level 5

Determine $$\Re\left(e ^I\right)$$, where $$\displaystyle I = \oint _{ C } \dfrac {\sinh(2z)}{z^4} dz$$, and $$C$$ is a unit circle around the origin.



Note: $$\Re (\cdot)$$ denotes the real part of a complex number.

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