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Integralshard
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Consider the integral I=∫01xm(ln⁡x)ndxI = \int_0^1 x^m (\ln x)^n dxI=∫01​xm(lnx)ndx where m,n>0m, n > 0m,n>0. What is the general formula for this integral in terms of the Gamma function Γ(z)\Gamma(z)Γ(z)?