What is the integral from 2 to 7 of 4x ?

The integral from 2 to 7 of 4x is 90

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 2 to 7 of 4x

\int_{2}^{7} 4 x d x

90

Solution steps

\int_{2}^{7} 4 x d x

Take the constant out:

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

= 4 \cdot \int_{2}^{7} x d x

Apply the Power Rule

= 4 [\frac{x ^{2}}{2}]_{2}^{7}

Compute the boundaries:

\frac{45}{2}

= 4 \cdot \frac{45}{2}

Simplify

= 90