en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 6x^{-2}

Solution

\int 6 x^{- 2} d x

Solution

- \frac{6}{x} + C

Solution steps

\int 6 x^{- 2} d x

Take the constant out:

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

= 6 \cdot \int x^{- 2} d x

Apply the Power Rule

= 6 (- \frac{1}{x})

Simplify

6 (- \frac{1}{x}) : - \frac{6}{x}

= - \frac{6}{x}

Add a constant to the solution

= - \frac{6}{x} + C

Graph

Popular Examples

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

integral of (x^4+6x^2)/(x(x^2+4)^2)

integral of x^2sqrt(16-x^3)

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

integral of 4x(4x+1)^3

Frequently Asked Questions (FAQ)

What is the integral of 6x^{-2} ?
The integral of 6x^{-2} is -6/x+C