integrate from 1 to 2 2pi(t - 1/t^2)sqrt{(1 + 3t^2)^2 + (1 + 2/t^3)^2} dtintegrate from 1 to 2 2pi(t - 1/t^2)sqrt{(1 + 3t^2)^2 + (1 + 2/t^3)^2} dt

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