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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\int 2 x \cdot sec^{2} (3 x) d x

x \to 0 lim (e^{2 π})

\int e^{x} x d x

\frac{1}{( s - 3 ) ^{2} + 3}

\int \frac{35 x ^{4} - 3}{7 x ^{5} - 3 x} d x