Integral of $$$e^{- t}$$$ with respect to $$$x$$$

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

Find $$$\int e^{- t}\, dx$$$.

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

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

Therefore,

$$\int{e^{- t} d x} = x e^{- t}$$

Add the constant of integration:

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

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

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