Function Expression :
\[f(x)=e^{x^2+x} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\left(2 x + 1\right) e^{x^{2} + x} \]\[f^{\,\prime}(x)=\left(2 x + 1\right) e^{x \left(x + 1\right)} \]
\[ \]
Integral
\[F(x) = \frac{\sqrt{\pi} \operatorname{erfi}{\left(x + \frac{1}{2} \right)}}{2 e^{\frac{1}{4}}} \]Sign Table
Variation Table
Plot
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