en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 4/(x^5)

Solution

\int \frac{4}{x ^{5}} d x

Solution

- \frac{1}{x ^{4}} + C

Solution steps

\int \frac{4}{x ^{5}} d x

Take the constant out:

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

= 4 \cdot \int \frac{1}{x ^{5}} d x

Apply the Power Rule

= 4 (- \frac{1}{4 x ^{4}})

Simplify

4 (- \frac{1}{4 x ^{4}}) : - \frac{1}{x ^{4}}

= - \frac{1}{x ^{4}}

Add a constant to the solution

= - \frac{1}{x ^{4}} + C

Graph

Popular Examples

derivative of (4x+6/(x+3))

derivative of 3^xln(x)

integral of (sqrt(4x^2-25))/(x^3)

derivative of 3e^x+(x-2^2)

limit as x approaches 6 of sqrt(5)

Frequently Asked Questions (FAQ)

What is the integral of 4/(x^5) ?
The integral of 4/(x^5) is -1/(x^4)+C