What is the integral from 1 to 4 of x^{1/2} ?

The integral from 1 to 4 of x^{1/2} is 14/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 1 to 4 of x^{1/2}

\int_{1}^{4} x^{\frac{1}{2}} d x

\frac{14}{3}

Decimal

4.66666 \dots

Solution steps

\int_{1}^{4} x^{\frac{1}{2}} d x

Apply the Power Rule

= [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= \frac{14}{3}

What is the integral from 1 to 4 of x^{1/2} ?
The integral from 1 to 4 of x^{1/2} is 14/3