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

The integral of (in(x))/(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 (in(x))/(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

\frac{d}{d x} (\frac{3 x}{4 x - 2})

y^{^{'}} + \frac{7 y}{x + 3} = (x + 3)^{3}

\int \frac{t}{( t ^{2} + 1 ) ^{\frac{3}{2}}} d t

\int \frac{13 x}{x + 3} d x

x \to 2 lim (\frac{5 x - 3}{4})

What is the integral of (in(x))/(x^2) ?
The integral of (in(x))/(x^2) is inln|x|+C