What is the integral from-infinity to 0 of xe^{3x} ?

The integral from-infinity to 0 of xe^{3x} is -1/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-infinity to 0 of xe^{3x}

\int_{- \infty}^{0} x e^{3 x} d x

- \frac{1}{9}

Decimal Notation

- 0.11111 \dots

Solution steps

\int_{- \infty}^{0} x e^{3 x} d x

Compute the indefinite integral:

\int x e^{3 x} d x = \frac{1}{9} (e^{3 x} \cdot 3 x - e^{3 x}) + C

Compute the boundaries:

\int_{- \infty}^{0} x e^{3 x} d x = - \frac{1}{9} - 0

= - \frac{1}{9} - 0

Simplify

= - \frac{1}{9}

\frac{d}{d x} (2 (x)^{3} ln (x))

\int x e^{z} + y^{2} d z

(\frac{x ^{2} + 3}{x ^{2} - 3})^{8}

\frac{d y}{d x} = 0.2 (4000 - y)

\frac{\partial}{\partial x} (\frac{x y}{1 + x ^{2} + y ^{2}})

What is the integral from-infinity to 0 of xe^{3x} ?
The integral from-infinity to 0 of xe^{3x} is -1/9