en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-x^{-2}

Solution

\int - x^{- 2} d x

Solution

\frac{1}{x} + C

Solution steps

\int - x^{- 2} d x

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

= \frac{1}{x}

Add a constant to the solution

= \frac{1}{x} + C

Graph

Popular Examples

integral of 1/(8+5x)

\int \frac{1}{8 + 5 x} d x

derivative of sin(sqrt(x^2-1))

\frac{d}{d x} (sin (x^{2} - 1))

derivative of x^{3/2}(x+ce^x)derivative of

x^{\frac{3}{2}} (x + c e^{x})

(\partial)/(\partial x)(e^{x/y}(1-x/y))

\frac{\partial}{\partial x} (e^{\frac{x}{y}} (1 - \frac{x}{y}))

y^'=(x^2+y^2)/(2xy)

y^{^{'}} = \frac{x ^{2} + y ^{2}}{2 x y}

Frequently Asked Questions (FAQ)

What is the integral of-x^{-2} ?
The integral of-x^{-2} is 1/x+C