What is the integral from-infinity to 15 of xe^{x/5} ?

The integral from-infinity to 15 of xe^{x/5} is 50e^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-infinity to 15 of xe^{x/5}

\int_{- \infty}^{15} x e^{\frac{x}{5}} d x

50 e^{3}

Decimal Notation

1004.27684 \dots

Solution steps

\int_{- \infty}^{15} x e^{\frac{x}{5}} d x

Compute the indefinite integral:

\int x e^{\frac{x}{5}} d x = 5 e^{\frac{x}{5}} x - 25 e^{\frac{x}{5}} + C

Compute the boundaries:

\int_{- \infty}^{15} x e^{\frac{x}{5}} d x = 50 e^{3} - 0

= 50 e^{3} - 0

Simplify

= 50 e^{3}

x \to 1 lim (\frac{1}{x ^{2} - x})

18 cos (2 x) - sin (x)

\int_{1}^{2} 7 r^{4} ln (r) d r

\int \frac{1}{x ^{2} + 2 x + 7} d x

\int tan (x + c) d x

What is the integral from-infinity to 15 of xe^{x/5} ?
The integral from-infinity to 15 of xe^{x/5} is 50e^3