Integral of $$$x e^{x}$$$ with respect to $$$d$$$

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

Related calculator: Definite and Improper Integral Calculator

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Your Input

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

Solution

Apply the constant rule $$$\int c\, dd = c d$$$ with $$$c=x e^{x}$$$:

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

Therefore,

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

Add the constant of integration:

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

Answer

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