Function Expression :
\[f(x)=xexln x \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=2 e x \log{\left(x \right)} + e x \]\[f^{\,\prime}(x)=e x \left(2 \log{\left(x \right)} + 1\right) \]
\[ \]
Integral
\[F(x) = e \left(\frac{x^{3} \log{\left(x \right)}}{3} - \frac{x^{3}}{9}\right) \]Sign Table
Variation Table
Plot
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