Integral of $$$\frac{x \cosh{\left(\frac{\pi x}{2} \right)} - \sinh{\left(\pi x \right)}}{x^{2} \sinh{\left(\pi x \right)} \cosh{\left(\frac{\pi x}{2} \right)}}$$$
The calculator will find the integral/antiderivative of $$$\frac{x \cosh{\left(\frac{\pi x}{2} \right)} - \sinh{\left(\pi x \right)}}{x^{2} \sinh{\left(\pi x \right)} \cosh{\left(\frac{\pi x}{2} \right)}}$$$, with steps shown.
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Find $$$\int \frac{x \cosh{\left(\frac{\pi x}{2} \right)} - \sinh{\left(\pi x \right)}}{x^{2} \sinh{\left(\pi x \right)} \cosh{\left(\frac{\pi x}{2} \right)}}\, dx$$$.