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