Integral of $$$- 2 i n t \left(\frac{x}{x + 3} - \frac{x}{x + 1}\right)$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$- 2 i n t \left(\frac{x}{x + 3} - \frac{x}{x + 1}\right)$$$ with respect to $$$x$$$, with steps shown.

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Find $$$\int \left(- 2 i n t \left(\frac{x}{x + 3} - \frac{x}{x + 1}\right)\right)\, dx$$$.