What is the integral from 2 to 5 of xe^x ?

The integral from 2 to 5 of xe^x is 4e^5-e^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 5 of xe^x

\int_{2}^{5} x e^{x} d x

4 e^{5} - e^{2}

Decimal Notation

586.26358 \dots

Solution steps

\int_{2}^{5} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{2}^{5}

= [e^{x} x - \int e^{x} d x]_{2}^{5}

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

= [e^{x} x - e^{x}]_{2}^{5}

Compute the boundaries:

4 e^{5} - e^{2}

= 4 e^{5} - e^{2}

\int_{4}^{9} \frac{2 x - 5}{4} d x

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

\int_{0}^{4} (\frac{1}{5}) e^{- \frac{x}{5}} d x

\int_{0}^{π} e^{2 x} cos (x) d x

\int_{0}^{\frac{π}{2}} 3 (sin (x))^{2} d x

What is the integral from 2 to 5 of xe^x ?
The integral from 2 to 5 of xe^x is 4e^5-e^2