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Does ∫0∞x(x3+2x−3)−1/2dx\int_{0}^{\infty} x\left(x^{3}+2 x-3\right)^{-1 / 2} d x Converge or Diverge

Question 61

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Does ∫0∞x(x3+2x−3)−1/2dx\int_{0}^{\infty} x\left(x^{3}+2 x-3\right)^{-1 / 2} d x converge or diverge?

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