en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-1 to 1 of x|x|

Solution

\int_{- 1}^{1} x ∣ x ∣ d x

Solution

0

Solution steps

\int_{- 1}^{1} x ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} x (- x) d x + \int_{0}^{1} xx d x

\int_{- 1}^{0} x (- x) d x = - \frac{1}{3}

\int_{0}^{1} xx d x = \frac{1}{3}

= - \frac{1}{3} + \frac{1}{3}

Simplify

= 0

Graph

Popular Examples

integral from 0 to 2pi of x^2

integral from 0 to 2 of g(x)

integral from-1 to 2 of x^2+2

integral from 1 to 2 of ln(x^2)

integral from-pi/6 to pi/6 of 4sec^2(x)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x|x| ?
The integral from-1 to 1 of x|x| is 0