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0-xlog-x-log-3-x-1-x-1-3-




Question Number 148818 by mathdanisur last updated on 31/Jul/21
∫_( 0) ^( ∞)  ((xlog(x)log^3 (x+1))/((x+1)^3 )) = ?
$$\underset{\:\mathrm{0}} {\overset{\:\infty} {\int}}\:\frac{{xlog}\left({x}\right){log}^{\mathrm{3}} \left({x}+\mathrm{1}\right)}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} }\:=\:? \\ $$

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