What is the integral from 0 to 2 of 5x ?

The integral from 0 to 2 of 5x is 10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 2 of 5x

\int_{0}^{2} 5 x d x

10

Solution steps

\int_{0}^{2} 5 x d x

Take the constant out:

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

= 5 \cdot \int_{0}^{2} x d x

Apply the Power Rule

= 5 [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= 5 \cdot 2

Simplify

= 10