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Study-according-to-the-values-of-the-real-the-convergence-of-the-integral-ln-x-x-x-1-1-3-dx-




Question Number 116123 by Henri Boucatchou last updated on 01/Oct/20
  Study according to the values of   the real α the convergence of the  integral  ∫_α ^(+∞) ((ln∣x∣)/( ((x(x+1)))^(1/3) ))dx
$$ \\ $$$$\mathrm{Study}\:\mathrm{according}\:\mathrm{to}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{real}\:\alpha\:\mathrm{the}\:\mathrm{convergence}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{integral}\:\:\int_{\alpha} ^{+\infty} \frac{{ln}\mid{x}\mid}{\:\sqrt[{\mathrm{3}}]{{x}\left({x}+\mathrm{1}\right)}}{dx} \\ $$

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