What is the integral of xe^{(-x)} ?

The integral of xe^{(-x)} is -e^{-x}x-e^{-x}+C

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integral of xe^{(-x)}

\int x e^{(- x)} d x

- e^{- x} x - e^{- x} + C

Solution steps

\int x e^{- x} d x

Apply Integration By Parts

: - e^{- x} x - \int - e^{- x} d x

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

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

= - e^{- x} x - e^{- x}

Add a constant to the solution

= - e^{- x} x - e^{- x} + C

f (x) = e^{l n (x)} - e^{5 l n (x^{2})}

f (x) = tan (x) cot (x)

\frac{d}{d x} (\frac{3}{( x - 4 ) ^{2}})

\frac{d}{d x} (arcsin (\frac{1}{2} x))

\frac{\partial}{\partial x} (arctan (\frac{x}{3}))

What is the integral of xe^{(-x)} ?
The integral of xe^{(-x)} is -e^{-x}x-e^{-x}+C