Integral of $$$e^{x}$$$

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

Related calculator: Definite and Improper Integral Calculator

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Your Input

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

Solution

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

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

Therefore,

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

Add the constant of integration:

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

Answer

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