en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 3/(x^2)

Solution

integral

\frac{3}{x ^{2}}

Solution

- \frac{3}{x} + C

Solution steps

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

Take the constant out:

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

= 3 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

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

Simplify

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

= - \frac{3}{x}

Add a constant to the solution

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

Graph

Popular Examples

integral of ((7+sqrt(x)+x)/x)

integral of (cos(x))/((1-sin(x))^2)

integral of 1/8 e^{-x/8}

integral of a^xln(a)

integral of 1/(\sqrt[3]{2x-1)}

Frequently Asked Questions (FAQ)

What is the integral of 3/(x^2) ?
The integral of 3/(x^2) is -3/x+C