What is the integral of (1/(4x)) ?

The integral of (1/(4x)) is 1/4 ln|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/(4x))

\int (\frac{1}{4 x}) d x

\frac{1}{4} ln ∣ x ∣ + C

Solution steps

\int \frac{1}{4 x} d x

Take the constant out:

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

= \frac{1}{4} \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= \frac{1}{4} ln ∣ x ∣

Add a constant to the solution

= \frac{1}{4} ln ∣ x ∣ + C

\int - 2 z e^{2 x} sin (yz) + 6 x y d y

\int \frac{7 x}{( 8 - x ^{2} ) ^{3}} d x

\int \frac{4}{2 - x} d x

\int (3 x^{2}) d x

\int \frac{cos ^{5} ( \frac{6}{x} )}{x ^{2}} d x