en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-4x

Solution

integral

- 4 x

Solution

- 2 x^{2} + C

Solution steps

\int - 4 x d x

Take the constant out:

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

= - 4 \cdot \int x d x

Apply the Power Rule

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

= - 4 \cdot \frac{x ^{2}}{2}

Simplify

- 4 \cdot \frac{x ^{2}}{2} : - 2 x^{2}

= - 2 x^{2}

Add a constant to the solution

= - 2 x^{2} + C

Graph

Popular Examples

integral of x^{1/6}integral

x^{\frac{1}{6}}

integral of 1/(x^3+1)integral

\frac{1}{x ^{3} + 1}

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

\frac{2 y ^{2}}{( x + y ) ^{2}}

integral of 1/(e^3)x+sin(x)integral

\frac{1}{e ^{3}} x + sin (x)

integral of (2-3x^2)^3 integral

(2 - 3 x^{2})^{3}

Frequently Asked Questions (FAQ)

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