What is the integral from 0 to 12 of 8x ?

The integral from 0 to 12 of 8x is 576

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 12 of 8x

\int_{0}^{12} 8 x d x

576

Solution steps

\int_{0}^{12} 8 x d x

Take the constant out:

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

= 8 \cdot \int_{0}^{12} x d x

Apply the Power Rule

= 8 [\frac{x ^{2}}{2}]_{0}^{12}

Compute the boundaries:

72

= 8 \cdot 72

Simplify

= 576

What is the integral from 0 to 12 of 8x ?
The integral from 0 to 12 of 8x is 576