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/(9x^4)

Solution

\int \frac{1}{9 x ^{4}} d x

Solution

- \frac{1}{27 x ^{3}} + C

Solution steps

\int \frac{1}{9 x ^{4}} d x

Take the constant out:

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

= \frac{1}{9} \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

= \frac{1}{9} (- \frac{1}{3 x ^{3}})

Simplify

\frac{1}{9} (- \frac{1}{3 x ^{3}}) : - \frac{1}{27 x ^{3}}

= - \frac{1}{27 x ^{3}}

Add a constant to the solution

= - \frac{1}{27 x ^{3}} + C

Graph

Popular Examples

limit as x approaches 2-of 3

integral of (z^2)/(1+z^3)

integral of x^2sqrt(x^2+4)

integral of (x^4)/(sqrt(1-x^{10))}

limit as x approaches infinity of ex

Frequently Asked Questions (FAQ)

What is the integral of 1/(9x^4) ?
The integral of 1/(9x^4) is -1/(27x^3)+C