Integral of $$$e^{t}$$$
The calculator will find the integral/antiderivative of $$$e^{t}$$$, with steps shown.
Related calculator: Definite and Improper Integral Calculator
Your Input
Find $$$\int e^{t}\, dt$$$.
Solution
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:
$$\int{e^{t} d t} = e^{t}+C$$
Answer
$$$\int e^{t}\, dt = e^{t} + C$$$A