What is the integral of (inx)/(x^2) ?

The integral of (inx)/(x^2) is inln|x|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (inx)/(x^2)

\int \frac{in x}{x ^{2}} d x

in ln ∣ x ∣ + C

Solution steps

\int \frac{in x}{x ^{2}} d x

Take the constant out:

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

= in \cdot \int \frac{x}{x ^{2}} d x

Cancel the common factor:

x

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= in ln ∣ x ∣

Add a constant to the solution

= in ln ∣ x ∣ + C