Function Expression :
\[f(x)=xln x-(x+1 )ln(x+1 ) \]Domain
\[\left]0, \infty\right[ \]Limits
\[ \]Derivate
\[ \]Integral
\[F(x) = \frac{x^{2} \log{\left(x \right)}}{2} - \frac{x^{2} \log{\left(x + 1 \right)}}{2} - x \log{\left(x + 1 \right)} + \frac{x}{2} - \frac{\log{\left(x + 1 \right)}}{2} \]Sign Table
Variation Table
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