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

The integral from 0 to infinity of xe^{3x} is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

diverges

Solution steps

\int_{0}^{\infty} 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_{0}^{\infty} x e^{3 x} d x =

diverges

= diverges

\int_{0}^{x} \frac{arctan ( t )}{t} d t

\int_{0}^{2 - x^{2} - y^{2}} x y e^{z} d z

\int_{5}^{11} (\frac{1}{x ^{2}}) d x

\int_{1}^{2} 10 d x

\int_{0}^{\frac{π}{6}} 12 cos (x) d x

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