en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1 1/x

Solution

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

Solution

ln ∣ x ∣ + C

Solution steps

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

Simplify

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= ln ∣ x ∣

Add a constant to the solution

= ln ∣ x ∣ + C

Popular Examples

integral of (x^5-10x^3)/(x^4-10x^2+9)

\int \frac{x ^{5} - 10 x ^{3}}{x ^{4} - 10 x ^{2} + 9} d x

integral of e^{ax}*cos(bx)

\int e^{a x} \cdot cos (b x) d x

integral of (cos(4x))/3

\int \frac{cos ( 4 x )}{3} d x

integral of (x-1)e^{-4x}

\int (x - 1) e^{- 4 x} d x

integral of z/(e^{6z)}

\int \frac{z}{e ^{6 z}} d z

Frequently Asked Questions (FAQ)

What is the integral of 1 1/x ?
The integral of 1 1/x is ln|x|+C