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Question Number 138422 by mnjuly1970 last updated on 13/Apr/21

         .......nice     calculus.....     evaluate:     𝛗=∫_0 ^( ∞)  ((((1+x))^(1/3)  −(x)^(1/3) )/( (√x)))^(  ) dx=?

$$\:\:\:\:\:\:\:\:\:.......{nice}\:\:\:\:\:{calculus}..... \\ $$$$\:\:\:{evaluate}: \\ $$$$\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \:\frac{\sqrt[{\mathrm{3}}]{\mathrm{1}+{x}}\:−\sqrt[{\mathrm{3}}]{{x}}}{\:\sqrt{{x}}}\:^{\:\:} {dx}=? \\ $$$$ \\ $$

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