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