What is the integral from 0 to 0.8 of x*e^x ?

The integral from 0 to 0.8 of x*e^x is 0.55489…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 0.8 of x*e^x

\int_{0}^{0.8} x \cdot e^{x} d x

0.55489 \dots

Solution steps

\int_{0}^{0.8} x e^{x} d x

Apply Integration By Parts

= [e^{x} x - \int e^{x} d x]_{0}^{0.8}

\int e^{x} d x = e^{x}

= [e^{x} x - e^{x}]_{0}^{0.8}

Compute the boundaries:

0.55489 \dots

= 0.55489 \dots

\int_{1}^{4} \frac{5 e ^{- x}}{2} d x

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

\int_{- 2}^{6} x^{3} d x

\int_{0}^{1} (8 x - 3) d x

\int_{0}^{3} \frac{1}{3 x + 5} d x

What is the integral from 0 to 0.8 of x*e^x ?
The integral from 0 to 0.8 of x*e^x is 0.55489…