What is the integral of (14)/x ?

The integral of (14)/x is 14ln|x|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (14)/x

\int \frac{14}{x} d x

14 ln ∣ x ∣ + C

Solution steps

\int \frac{14}{x} d x

Take the constant out:

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

= 14 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 14 ln ∣ x ∣

Add a constant to the solution

= 14 ln ∣ x ∣ + C

f (x) = x^{2} \cdot (x^{3} + 2)

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

y^{^{''}} + 4 y = 12 sin (2 x)

f (x) = \frac{4}{3 x ^{2}} + \frac{1}{x ^{2.1}}

\int \frac{( 8 + x + x ^{2} )}{x} d x