en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-x^{-3}

Solution

\int - x^{- 3} d x

Solution

\frac{1}{2 x ^{2}} + C

Solution steps

\int - x^{- 3} d x

Take the constant out:

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

= - \int x^{- 3} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= - (- \frac{1}{2 x ^{2}})

Simplify

= \frac{1}{2 x ^{2}}

Add a constant to the solution

= \frac{1}{2 x ^{2}} + C

Popular Examples

limit as x approaches 1+of x-2

x \to 1 + lim (x - 2)

(\partial)/(\partial x)(xy^2e^{x^2})

\frac{\partial}{\partial x} (x y^{2} e^{x^{2}})

laplacetransform tsin(0.89t)laplace transform

t sin (0.89 t)

derivative of 5/(8t)derivative of

\frac{5}{8 t}

(\partial)/(\partial y)(x^2y^3z)

\frac{\partial}{\partial y} (x^{2} y^{3} z)

Frequently Asked Questions (FAQ)

What is the integral of-x^{-3} ?
The integral of-x^{-3} is 1/(2x^2)+C