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∫e2∞dxx(lnx)3=AB\large\int_{e^2}^{\infty }\dfrac{dx}{x (\ln{x})^3 }=\dfrac{A}{B}∫e2∞x(lnx)3dx=BA
If the equation above holds true for coprime positive integers AAA and BBB, find A+B\sqrt{A+B}A+B.
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