What is the integral of-sqrt(x) ?

The integral of-sqrt(x) is -2/3 x^{3/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-sqrt(x)

\int - x d x

- \frac{2}{3} x^{\frac{3}{2}} + C

Solution steps

\int - x d x

Take the constant out:

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

= - \int x d x

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

= - \frac{2}{3} x^{\frac{3}{2}}

Add a constant to the solution

= - \frac{2}{3} x^{\frac{3}{2}} + C

x \to 0 lim (arccot (\frac{1}{x}))

\frac{d}{d x} ((- x^{2} + 2 x) (3 x + 2) (x - 1))

f (x) = 3 x^{2}, (1, 3)

y^{^{'}} = \frac{e ^{x}}{y}

\int_{1}^{5} \frac{2}{x} d x