What is the integral from 0 to 2 of x^2e^x ?

The integral from 0 to 2 of x^2e^x is 2e^2-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of x^2e^x

\int_{0}^{2} x^{2} e^{x} d x

2 e^{2} - 2

Solution steps

\int_{0}^{2} x^{2} e^{x} d x

Apply Integration By Parts

: [x^{2} e^{x} - \int 2 x e^{x} d x]_{0}^{2}

= [x^{2} e^{x} - \int 2 x e^{x} d x]_{0}^{2}

\int 2 x e^{x} d x = 2 (e^{x} x - e^{x})

= [x^{2} e^{x} - 2 (e^{x} x - e^{x})]_{0}^{2}

Compute the boundaries:

2 e^{2} - 2

= 2 e^{2} - 2

e^{3}

\int 9 x 1 + 2 x^{2} d x

n \to \infty lim (0)

7 x - 2

\frac{d}{d x} ((x - 2)^{2} (x + 4))

What is the integral from 0 to 2 of x^2e^x ?
The integral from 0 to 2 of x^2e^x is 2e^2-2