What is the integral of-2/(sqrt(x)) ?

The integral of-2/(sqrt(x)) is -4sqrt(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-2/(sqrt(x))

\int - \frac{2}{x} d x

- 4 x + C

Solution steps

\int - \frac{2}{x} d x

Take the constant out:

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

= - 2 \cdot \int \frac{1}{x} d x

Apply the Power Rule

: 2 x^{\frac{1}{2}}

= - 2 \cdot 2 x^{\frac{1}{2}}

Simplify

- 2 \cdot 2 x^{\frac{1}{2}} : - 4 x

= - 4 x

Add a constant to the solution

= - 4 x + C

\frac{d y}{d t} = \frac{2}{t} y + 3 t^{2} cos (3 t)

\int_{1}^{\infty} x^{- \frac{2}{3}} d x

\int (x^{2} + 1) cos (x) d x

x \to 2 lim (x^{2} - \frac{4}{x - 2})

\int x ln (1 + x^{2}) d x

What is the integral of-2/(sqrt(x)) ?
The integral of-2/(sqrt(x)) is -4sqrt(x)+C