en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 2 of (2-|x|)

Solution

\int_{- 2}^{2} (2 - ∣ x ∣) d x

Solution

4

Solution steps

\int_{- 2}^{2} 2 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} 2 - (- x) d x + \int_{0}^{2} 2 - x d x

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

\int_{0}^{2} 2 - x d x = 2

= 2 + 2

Simplify

= 4

Graph

Popular Examples

limit as x approaches 0-of-3x^2+2x

x \to 0 - lim (- 3 x^{2} + 2 x)

integral from 0 to l of xsin^2((pix)/l)

\int_{0}^{l} x sin^{2} (\frac{π x}{l}) d x

slope of (5.1)(3.6)slope

(5.1) (3.6)

integral of (7x+2)/(x^2-4)

\int \frac{7 x + 2}{x ^{2} - 4} d x

derivative of ((e^x-e^{-x})/((e^x+e^{-x))})

\frac{d}{d x} (\frac{( e ^{x} - e ^{- x} )}{( e ^{x} + e ^{- x} )})

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (2-|x|) ?
The integral from-2 to 2 of (2-|x|) is 4