Integral of $$$x \cosh{\left(\frac{\pi x}{2} \right)} - \sinh{\left(\pi x \right)}$$$

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

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Find $$$\int \left(x \cosh{\left(\frac{\pi x}{2} \right)} - \sinh{\left(\pi x \right)}\right)\, dx$$$.