What is the integral of 7xe^x ?

The integral of 7xe^x is 7(e^xx-e^x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 7xe^x

\int 7 x e^{x} d x

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

Solution steps

\int 7 x e^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 7 \cdot \int x e^{x} d x

Apply Integration By Parts

= 7 (e^{x} x - \int e^{x} d x)

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

= 7 (e^{x} x - e^{x})

Add a constant to the solution

= 7 (e^{x} x - e^{x}) + C