What is the integral of (1/(sqrt(x))) ?

The integral of (1/(sqrt(x))) is 2sqrt(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1/(sqrt(x)))

\int (\frac{1}{x}) d x

2 x + C

Solution steps

\int \frac{1}{x} d x

Apply the Power Rule

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

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

Apply radical rule:

= 2 x

Add a constant to the solution

= 2 x + C

\int \frac{e ^{x}}{e ^{2 x} + 6 e ^{x} + 9} d x

\frac{d}{d x} (e^{- x} \cdot sin (x))

\frac{d}{d x} (e^{\frac{1}{x ^{3}}})

\frac{d y}{d x} y = (y + 1) (2 x + 1), y (- 1) = 1

\int z^{2} (z^{3} - 1)^{6} d z

What is the integral of (1/(sqrt(x))) ?
The integral of (1/(sqrt(x))) is 2sqrt(x)+C