What is the integral from 0 to 39 of 0.31sqrt(x) ?

The integral from 0 to 39 of 0.31sqrt(x) is 50.33468…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 39 of 0.31sqrt(x)

\int_{0}^{39} 0.31 x d x

50.33468 \dots

Solution steps

\int_{0}^{39} 0.31 x d x

Take the constant out:

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

= 0.31 \cdot \int_{0}^{39} x d x

Apply the Power Rule

= 0.31 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{39}

Simplify

= 0.31 [0.66666 \dots x^{\frac{3}{2}}]_{0}^{39}

Compute the boundaries:

162.36994 \dots

= 0.31 \cdot 162.36994 \dots

Simplify

= 50.33468 \dots

What is the integral from 0 to 39 of 0.31sqrt(x) ?
The integral from 0 to 39 of 0.31sqrt(x) is 50.33468…