What is the integral of (12)/(sqrt(x)) ?

The integral of (12)/(sqrt(x)) is 24sqrt(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (12)/(sqrt(x))

\int \frac{12}{x} d x

24 x + C

Solution steps

\int \frac{12}{x} d x

Take the constant out:

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

= 12 \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= 12 \cdot 2 x^{\frac{1}{2}}

Simplify

12 \cdot 2 x^{\frac{1}{2}} : 24 x

= 24 x

Add a constant to the solution

= 24 x + C

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

\int \frac{x}{x ^{2} + 7} d x

x d y = (y + x^{2} + 9 y^{2}) d x

\frac{4}{3} π r^{3}

x \to \infty lim (0.5 3^{x})

What is the integral of (12)/(sqrt(x)) ?
The integral of (12)/(sqrt(x)) is 24sqrt(x)+C