What is the integral of e^{-x}*x ?

The integral of e^{-x}*x is -e^{-x}x-e^{-x}+C

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integral of e^{-x}*x

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

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

Solution steps

\int e^{- x} 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

\int 6^{s i n (x)} cos (x) d x

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} - 5 x}{x + 1})

\frac{d}{d x} (x^{- 1} (x^{2} + 1) x)

2 y^{^{''}} - 3 y^{^{'}} - 14 y = 0

\frac{d y}{d x} = 0.15 y + 200

What is the integral of e^{-x}*x ?
The integral of e^{-x}*x is -e^{-x}x-e^{-x}+C