Integral of $$$e^{t}$$$

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

Find $$$\int e^{t}\, dt$$$.

The integral of the exponential function is $$$\int{e^{t} d t} = e^{t}$$$:

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

Therefore,

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

Add the constant of integration:

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

$$$\int e^{t}\, dt = e^{t} + C$$$A