en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 72x^{-2}

Solution

\int 72 x^{- 2} d x

Solution

- \frac{72}{x} + C

Solution steps

\int 72 x^{- 2} d x

Take the constant out:

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

= 72 \cdot \int x^{- 2} d x

Apply the Power Rule

: - \frac{1}{x}

= 72 (- \frac{1}{x})

Simplify

72 (- \frac{1}{x}) : - \frac{72}{x}

= - \frac{72}{x}

Add a constant to the solution

= - \frac{72}{x} + C

Graph

Popular Examples

integral of (x+3x^2+x^3)/(x^2)

\int \frac{x + 3 x ^{2} + x ^{3}}{x ^{2}} d x

integral of 1/(10x-x^2-11)

\int \frac{1}{10 x - x ^{2} - 11} d x

integral of (x^2+43)/(x^2+49)

\int \frac{x ^{2} + 43}{x ^{2} + 49} d x

integral of 1/(x^2-6x+25)

\int \frac{1}{x ^{2} - 6 x + 25} d x

integral of x/(x^2-4x-5)

\int \frac{x}{x ^{2} - 4 x - 5} d x

Frequently Asked Questions (FAQ)

What is the integral of 72x^{-2} ?
The integral of 72x^{-2} is -(72)/x+C