What is the integral of x^2*e^x ?

The integral of x^2*e^x is x^2e^x-2(e^xx-e^x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2*e^x

\int x^{2} \cdot e^{x} d x

x^{2} e^{x} - 2 (e^{x} x - e^{x}) + C

Solution steps

\int x^{2} e^{x} d x

Apply Integration By Parts

: x^{2} e^{x} - \int 2 x e^{x} d x

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

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

= x^{2} e^{x} - 2 (e^{x} x - e^{x})

Add a constant to the solution

= x^{2} e^{x} - 2 (e^{x} x - e^{x}) + C

\int 5 r^{2} d r

\int (2 t + 4) d t

y^{^{'}} = x (1 - y^{2})

f (x) = \frac{6 x - 8}{x ^{2} - 6 x + 7}

\frac{d}{d x} ((1 + cos (x)) cos (x))

What is the integral of x^2*e^x ?
The integral of x^2*e^x is x^2e^x-2(e^xx-e^x)+C