$ \int \frac{x^3 +1}{x^4} \, dx = \int \frac{x^3 }{x^4} \, dx + \int \frac{+1}{x^4} \, dx = = \int \frac{1}{x} \, dx + \int x^{-4} \, dx = ln |x| - \frac {1}{3x^3} + c $
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