en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x^{-0.5}

Solution

\int x^{- 0.5} d x

Solution

2 x + C

Solution steps

\int x^{- 0.5} d x

Apply the Power Rule

= 2 x^{0.5}

Apply radical rule:

a^{\frac{1}{n}} = n a

= 2 x

Add a constant to the solution

= 2 x + C

Graph

Popular Examples

derivative of 0.0225xe^{-0.0467x}

\frac{d}{d x} (0.0225 x e^{- 0.0467 x})

inverse oflaplace (4e^{(-s)})/((s^2+4s+13))

in v erse l a pl a ce \frac{4 e ^{(- s)}}{( s ^{2} + 4 s + 13 )}

integral of 1/(x^2-6x-13)

\int \frac{1}{x ^{2} - 6 x - 13} d x

inverse oflaplace s/(s+2)

in v erse l a pl a ce \frac{s}{s + 2}

derivative of e^{x^2-5x}

\frac{d}{d x} (e^{x^{2} - 5 x})

Frequently Asked Questions (FAQ)

What is the integral of x^{-0.5} ?
The integral of x^{-0.5} is 2sqrt(x)+C