en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x/6

Solution

\int \frac{x}{6} d x

Solution

\frac{x ^{2}}{12} + C

Solution steps

\int \frac{x}{6} d x

Take the constant out:

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

= \frac{1}{6} \cdot \int x d x

Apply the Power Rule

= \frac{1}{6} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{6} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{12}

= \frac{x ^{2}}{12}

Add a constant to the solution

= \frac{x ^{2}}{12} + C

Graph

Popular Examples

integral of 1/(x^2-8x+20)

integral of e^{-sx}

derivative of (x^4/8+(x^{-2})/4)

derivative of (x^2+x+1/(2sqrt(x)))

(dy)/(dx)=2x+y,y(0)=4

Frequently Asked Questions (FAQ)

What is the integral of x/6 ?
The integral of x/6 is (x^2)/(12)+C