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

Popular >

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

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

\frac{14}{3}

Decimal Notation

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}

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

Compute the boundaries:

\frac{14}{3}

= \frac{14}{3}

\int_{0}^{0.4} 30 x^{2} (1 - x)^{2} d x

\int_{x^{2}}^{1} arctan (t^{2}) d t

\int_{3}^{4} x 25 - x^{2} d x

\int_{0}^{\frac{π}{2}} \frac{1}{2 cos ( x ) + 3} d x

\int_{0}^{\frac{1}{2}} \frac{1}{1 - x ^{2}} d x

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