What is the integral of (x/(e^x)) ?

The integral of (x/(e^x)) is -x/(e^x)-1/(e^x)+C

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integral of (x/(e^x))

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

- \frac{x}{e ^{x}} - \frac{1}{e ^{x}} + C

Solution steps

\int \frac{x}{e ^{x}} d x

Apply Integration By Parts

: - \frac{x}{e ^{x}} - \int - \frac{1}{e ^{x}} d x

= - \frac{x}{e ^{x}} - \int - \frac{1}{e ^{x}} d x

\int - \frac{1}{e ^{x}} d x = \frac{1}{e ^{x}}

= - \frac{x}{e ^{x}} - \frac{1}{e ^{x}}

Add a constant to the solution

= - \frac{x}{e ^{x}} - \frac{1}{e ^{x}} + C

x \to 2 + lim (x x^{2} - 4)

\int \frac{1}{2 x - 5} d x

x \to 4 lim (4 x - 7 y x + 5 y)

\int (3 x - 6)^{23} d x

sin (3 t)

What is the integral of (x/(e^x)) ?
The integral of (x/(e^x)) is -x/(e^x)-1/(e^x)+C