What is the integral from 0 to 0.5 of 150x ?

The integral from 0 to 0.5 of 150x is 18.75

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 0.5 of 150x

\int_{0}^{0.5} 150 x d x

18.75

Solution steps

\int_{0}^{0.5} 150 x d x

Take the constant out:

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

= 150 \cdot \int_{0}^{0.5} x d x

Apply the Power Rule

= 150 [\frac{x ^{2}}{2}]_{0}^{0.5}

Simplify

= 150 [0.5 x^{2}]_{0}^{0.5}

Compute the boundaries:

0.125

= 150 \cdot 0.125

Simplify

= 18.75

What is the integral from 0 to 0.5 of 150x ?
The integral from 0 to 0.5 of 150x is 18.75