What is the integral from 0.2 to 0.4 of 300x ?

The integral from 0.2 to 0.4 of 300x is 18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0.2 to 0.4 of 300x

\int_{0.2}^{0.4} 300 x d x

18

Solution steps

\int_{0.2}^{0.4} 300 x d x

Take the constant out:

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

= 300 \cdot \int_{0.2}^{0.4} x d x

Apply the Power Rule

= 300 [\frac{x ^{2}}{2}]_{0.2}^{0.4}

Simplify

= 300 [0.5 x^{2}]_{0.2}^{0.4}

Compute the boundaries:

0.06

= 300 \cdot 0.06

Simplify

= 18

What is the integral from 0.2 to 0.4 of 300x ?
The integral from 0.2 to 0.4 of 300x is 18