en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/5-4/x

Solution

\int \frac{1}{5} - \frac{4}{x} d x

Solution

\frac{1}{5} x - 4 ln ∣ x ∣ + C

Solution steps

\int \frac{1}{5} - \frac{4}{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{1}{5} d x - \int \frac{4}{x} d x

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

\int \frac{4}{x} d x = 4 ln ∣ x ∣

= \frac{1}{5} x - 4 ln ∣ x ∣

Add a constant to the solution

= \frac{1}{5} x - 4 ln ∣ x ∣ + C

Graph

Popular Examples

integral of 2x^33

integral of (x^2-x+2)sin(3x)

integral of ln(x^2+x+2)

integral of ((x))/((x+1)^2)

integral of (sec(t))/(cos(t))

Frequently Asked Questions (FAQ)

What is the integral of 1/5-4/x ?
The integral of 1/5-4/x is 1/5 x-4ln|x|+C