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

Popular >

integral of (Inx)/(x^2)

\int \frac{I n x}{x ^{2}} d x

I n ln ∣ x ∣ + C

Solution steps

\int \frac{I n x}{x ^{2}} d x

Take the constant out:

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

= I n \cdot \int \frac{x}{x ^{2}} d x

Cancel the common factor:

x

= I n \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= I n ln ∣ x ∣

Add a constant to the solution

= I n ln ∣ x ∣ + C

\frac{d}{d v} (uv)

3 6 x^{2} + 1

\frac{1}{x + 1}, 0

\int_{0}^{5} 2 π (7 - x) (25 - x^{2}) d x

\int \frac{arccos ( x )}{1 - x ^{2}} d x