Integral of $$$\frac{\left(r^{2} - x^{2}\right) \left|{r}\right| \left|{x}\right|}{r^{4} x^{3}}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$\frac{\left(r^{2} - x^{2}\right) \left|{r}\right| \left|{x}\right|}{r^{4} x^{3}}$$$ with respect to $$$x$$$, with steps shown.

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Find $$$\int \frac{\left(r^{2} - x^{2}\right) \left|{r}\right| \left|{x}\right|}{r^{4} x^{3}}\, dx$$$.


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