en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-4x^{-2}

Solution

\int - 4 x^{- 2} d x

Solution

\frac{4}{x} + C

Solution steps

\int - 4 x^{- 2} d x

Take the constant out:

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

= - 4 \cdot \int x^{- 2} d x

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= \frac{4}{x}

Add a constant to the solution

= \frac{4}{x} + C

Popular Examples

integral of x^mln(x)

\int x^{m} ln (x) d x

integral of (2x-3)/(x^2-3x+5)

\int \frac{2 x - 3}{x ^{2} - 3 x + 5} d x

integral of (1 [xsin(x)])

\int (\frac{d}{1} [x sin (x)]) d x

integral of 1/(t^2+81)

\int \frac{1}{t ^{2} + 81} d t

integral of (4cos(x)-6cos(2x))

\int (4 cos (x) - 6 cos (2 x)) d x

Frequently Asked Questions (FAQ)

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