en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-3 to 3 of x-|x|

Solution

\int_{- 3}^{3} x - ∣ x ∣ d x

Solution

- 9

Solution steps

\int_{- 3}^{3} x - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{0} x - (- x) d x = - 9

\int_{0}^{3} x - x d x = 0

= - 9 + 0

Simplify

= - 9

Popular Examples

integral from-2 to 4 of x/2+3

\int_{- 2}^{4} \frac{x}{2} + 3 d x

integral from-2 to 2 of 6-x^2

\int_{- 2}^{2} 6 - x^{2} d x

integral from 0 to 5 of (3x+1)

\int_{0}^{5} (3 x + 1) d x

integral from 0 to 6-x of 6-x-z

\int_{0}^{6 - x} 6 - x - z d z

integral from 0 to 2 of (2x-1)^3

\int_{0}^{2} (2 x - 1)^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of x-|x| ?
The integral from-3 to 3 of x-|x| is -9