What is the integral of 12xe^x ?

The integral of 12xe^x is 12(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 12xe^x

\int 12 x e^{x} d x

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

Solution steps

\int 12 x e^{x} d x

Take the constant out:

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

= 12 \cdot \int x e^{x} d x

Apply Integration By Parts

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

= 12 (e^{x} x - \int e^{x} d x)

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

= 12 (e^{x} x - e^{x})

Add a constant to the solution

= 12 (e^{x} x - e^{x}) + C

\int \frac{x ^{2} + 19 x + 10}{2 x ^{4} + 5 x ^{3}} d x

\int (1 - x) 2 x - x^{2} d x

\int x sec^{2} (x) tan (x) d x

\int 5^{8 y} d y

\int (4 x^{2} - 6 x) d x