en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-1/2 x

Solution

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

Solution

- \frac{x ^{2}}{4} + C

Solution steps

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

Take the constant out:

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

= - \frac{1}{2} \cdot \int x d x

Apply the Power Rule

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

Simplify

- \frac{1}{2} \cdot \frac{x ^{2}}{2} : - \frac{x ^{2}}{4}

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

Add a constant to the solution

= - \frac{x ^{2}}{4} + C

Graph

Popular Examples

derivative of y=(9000)/(x^2)

(sqrt(2x^4+1))/y y^'+1/6 y^3x^3=0

integral from 0 to 1 of (30)/(4y-1)

Frequently Asked Questions (FAQ)

What is the integral of-1/2 x ?
The integral of-1/2 x is -(x^2)/4+C