en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-x/2

Solution

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

Solution

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

Solution steps

\int - \frac{x}{2} 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{x ^{2}}{2}

= - \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

Popular Examples

derivative of ((x^{1/3}-4))/(x^{7/2)}derivative of

\frac{( x ^{\frac{1}{3}} - 4 )}{x ^{\frac{7}{2}}}

\frac{d y}{d t} = t^{2}

derivative of y=(csc(x^2))/(7x-cos^2(x))derivative of

y = \frac{csc ( x ^{2} )}{7 x - cos ^{2} ( x )}

laplacetransform 2t^2e^t laplace transform

2 t^{2} e^{t}

(d^3)/(dx^3)(e^{x^2})

\frac{d ^{3}}{d x ^{3}} (e^{x^{2}})

Frequently Asked Questions (FAQ)

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