en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (|x|)

Solution

\int (∣ x ∣) d x

Solution

\frac{x ∣ x ∣}{2} + C

Solution steps

\int ∣ x ∣ d x

Use the common integral:

\int ∣ x ∣ d x = \frac{x ∣ x ∣}{2}

= \frac{x ∣ x ∣}{2}

Add a constant to the solution

= \frac{x ∣ x ∣}{2} + C

Popular Examples

derivative of 4x^2+3

\frac{d}{d x} (4 x^{2} + 3)

integral of xsqrt(4+x^2)

\int x 4 + x^{2} d x

tangent of x+4/x tangent of

x + \frac{4}{x}

d/(dy)((y^4)/4+1/(8y^2))

\frac{d}{d y} (\frac{y ^{4}}{4} + \frac{1}{8 y ^{2}})

(d^2)/(dx^2)(xsqrt(x^2+1))

\frac{d ^{2}}{d x ^{2}} (x x^{2} + 1)

Frequently Asked Questions (FAQ)

What is the integral of (|x|) ?
The integral of (|x|) is (x|x|)/2+C