en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-4x^{-3}

Solution

\int - 4 x^{- 3} d x

Solution

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

Solution steps

\int - 4 x^{- 3} d x

Take the constant out:

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

= - 4 \cdot \int x^{- 3} d x

Apply the Power Rule

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

= - 4 (- \frac{1}{2 x ^{2}})

Simplify

- 4 (- \frac{1}{2 x ^{2}}) : \frac{2}{x ^{2}}

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

Add a constant to the solution

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

Popular Examples

integral of-3ln(-2x)

\int - 3 ln (- 2 x) d x

integral of 6^2

\int 6^{2} d x

integral of cos(5x)integral

cos (5 x)

integral of 1/(1+4cos(x))

\int \frac{1}{1 + 4 cos ( x )} d x

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

\int \frac{1}{3 x + 2 - 3 x - 2} d x

Frequently Asked Questions (FAQ)

What is the integral of-4x^{-3} ?
The integral of-4x^{-3} is 2/(x^2)+C