en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-a/(x^2)

Solution

\int - \frac{a}{x ^{2}} d x

Solution

\frac{a}{x} + C

Solution steps

\int - \frac{a}{x ^{2}} d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= \frac{a}{x}

Add a constant to the solution

= \frac{a}{x} + C

Graph

Popular Examples

integral of 2xcos(3x+1)

\int 2 x cos (3 x + 1) d x

integral of 9cos(x)-4sin(x)

\int 9 cos (x) - 4 sin (x) d x

integral of (9x^2-9x+2)

\int (9 x^{2} - 9 x + 2) d x

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

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

integral of 8(5^x)

\int 8 (5^{x}) d x

Frequently Asked Questions (FAQ)

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