What is the integral of (-5)/x ?

The integral of (-5)/x is -5ln|x|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (-5)/x

\int \frac{- 5}{x} d x

- 5 ln ∣ x ∣ + C

Solution steps

\int \frac{- 5}{x} d x

Take the constant out:

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

= - 5 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= - 5 ln ∣ x ∣

Add a constant to the solution

= - 5 ln ∣ x ∣ + C

\int x^{- 6} (x + 1) d x

y^{^{''}} - 9 y^{^{'}} + 18 y = 2 sin (5 t)

e^{c o s (s i n (x^{2}))}

\int_{- 1}^{1} - 1 d x

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