What is the integral from 4 to 9 of 2x^{3/2} ?

The integral from 4 to 9 of 2x^{3/2} is 844/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 4 to 9 of 2x^{3/2}

\int_{4}^{9} 2 x^{\frac{3}{2}} d x

\frac{844}{5}

Decimal

168.8

Solution steps

\int_{4}^{9} 2 x^{\frac{3}{2}} d x

Take the constant out:

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

= 2 \cdot \int_{4}^{9} x^{\frac{3}{2}} d x

Apply the Power Rule

= 2 [\frac{2}{5} x^{\frac{5}{2}}]_{4}^{9}

Compute the boundaries:

\frac{422}{5}

= 2 \cdot \frac{422}{5}

Simplify

= \frac{844}{5}

What is the integral from 4 to 9 of 2x^{3/2} ?
The integral from 4 to 9 of 2x^{3/2} is 844/5