Find an antiderivative with respect to \(x\) for the fraction with \(\underline{\text{numerator}}\) e\({}^{2\pi}\) and \(\underline{\text{denominator }}1+\text{e}^{4\pi}\).
\( icefrac{{\gamma}}{{2}}\) arctan e\({}^{2\pi}\) (ACCEPT: \( icefrac{{\gamma}}{{2}}\) arctan e\({}^{2\pi}+\text{C}\) for any constant C)