Function Expression :
\[f(x)=ln(x+3 )^3 \]Domain
\[\left]-3, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow-3} }f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{3 \log{\left(x + 3 \right)}^{2}}{x + 3} \]\[f^{\,\prime}(x)=\frac{3 \log{\left(x + 3 \right)}^{2}}{x + 3} \]
\[ \]
Integral
\[F(x) = x \log{\left(x + 3 \right)}^{3} - 3 x \log{\left(x + 3 \right)}^{2} + 6 x \log{\left(x + 3 \right)} - 6 x + 3 \log{\left(x + 3 \right)}^{3} - 9 \log{\left(x + 3 \right)}^{2} + 18 \log{\left(x + 3 \right)} \]Sign Table
Variation Table
Plot
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