Integral of exe^{x}

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

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Your Input

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

Solution

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

exdx=ex{\color{red}{\int{e^{x} d x}}} = {\color{red}{e^{x}}}

Therefore,

exdx=ex\int{e^{x} d x} = e^{x}

Add the constant of integration:

exdx=ex+C\int{e^{x} d x} = e^{x}+C

Answer

exdx=ex+C\int e^{x}\, dx = e^{x} + CA