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

The integral of x/(e^{-x)} is e^xx-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

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

Solution steps

\int \frac{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

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

- (x - 3)^{3}, 1

h \to 0 lim \frac{( ( 1 + h ) e ^{(1 + h)^{2}} - 3 )}{h}

f (x) = 5 x^{3}

\int - \frac{cos ( 3 x )}{3} d x