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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