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Prove that Integral between 0 and + of ((x^(3/2))/(1+x^3))dx = (2/3) And you must prove that the integral on the big circle of radius R

Prove that Integral between 0 and + of

((x^(3/2))/(1+x^3))dx = (2/3)

And you must prove that the integral on the big circle of radius R and the integral on the little circle of radius epsilon, tend to zero.

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