en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x/(12)

Solution

\int \frac{x}{12} d x

Solution

\frac{x ^{2}}{24} + C

Solution steps

\int \frac{x}{12} d x

Take the constant out:

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

= \frac{1}{12} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{12} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{12} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{24}

= \frac{x ^{2}}{24}

Add a constant to the solution

= \frac{x ^{2}}{24} + C

Popular Examples

limit as x approaches-2 of (x^2)/(x-1)

x \to - 2 lim (\frac{x ^{2}}{x - 1})

derivative of (sin(x^2))/(x^2)derivative of

\frac{sin ( x ^{2} )}{x ^{2}}

integral of (1+sqrt(x)+x)/(sqrt(x))

\int \frac{1 + x + x}{x} d x

(dy}{dx}=\frac{13x)/y

\frac{d y}{d x} = \frac{13 x}{y}

derivative of x|x|derivative of

x ∣ x ∣

Frequently Asked Questions (FAQ)

What is the integral of x/(12) ?
The integral of x/(12) is (x^2)/(24)+C