What is the integral from 1 to 5 of x/2 ?

The integral from 1 to 5 of x/2 is 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 1 to 5 of x/2

\int_{1}^{5} \frac{x}{2} d x

6

Solution steps

\int_{1}^{5} \frac{x}{2} d x

Take the constant out:

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

= \frac{1}{2} \cdot \int_{1}^{5} x d x

Apply the Power Rule

= \frac{1}{2} [\frac{x ^{2}}{2}]_{1}^{5}

Compute the boundaries:

12

= \frac{1}{2} \cdot 12

Simplify

= 6