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

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

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

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

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

Therefore,

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

Add the constant of integration:

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

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

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