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(x)int(pi)((x-1)dx)/((x+1)sqrt(x^(3)+x^(...

(x)int_(pi)((x-1)dx)/((x+1)sqrt(x^(3)+x^(2)+x))

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Prove that, int_(2)^(3)(dx)/((x-1)sqrt(x^(2)-2x))=(pi)/(3)