Does $\int_{0}^{\infty} x\left(x^{3}+2 x-3\right)^{-1 / 2} d x$ Converge or Diverge

question 61

Essay

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

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