Integral of $$$\frac{- 24 x^{43} + 5 x^{2}}{2 x \left(x - 2\right)^{2}}$$$
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Find $$$\int \frac{- 24 x^{43} + 5 x^{2}}{2 x \left(x - 2\right)^{2}}\, dx$$$.
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