What is the integral of (3x^{-4}) ?

The integral of (3x^{-4}) is -1/(x^3)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (3x^{-4})

\int (3 x^{- 4}) d x

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

Solution steps

\int 3 x^{- 4} d x

Take the constant out:

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

= 3 \cdot \int x^{- 4} d x

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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