Integral of $$$e^{u}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$e^{u}$$$ with respect to $$$x$$$, with steps shown.

Find $$$\int e^{u}\, dx$$$.

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=e^{u}$$$:

$${\color{red}{\int{e^{u} d x}}} = {\color{red}{x e^{u}}}$$

Therefore,

$$\int{e^{u} d x} = x e^{u}$$

Add the constant of integration:

$$\int{e^{u} d x} = x e^{u}+C$$

$$$\int e^{u}\, dx = x e^{u} + C$$$A

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