en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-5 to 4 of |x|

Solution

\int_{- 5}^{4} ∣ x ∣ d x

Solution

\frac{41}{2}

+1

Decimal

20.5

Solution steps

\int_{- 5}^{4} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} - x d x + \int_{0}^{4} x d x

\int_{- 5}^{0} - x d x = \frac{25}{2}

\int_{0}^{4} x d x = 8

= \frac{25}{2} + 8

Simplify

\frac{25}{2} + 8 : \frac{41}{2}

= \frac{41}{2}

Graph

Popular Examples

integral from-2 to 5 of |x|

integral from 0 to 1 of x^6e^{-x^7}

integral from 1 to 4 of (x^2+4x+5)

integral from 1 to 3 of (x^2+2x+1)

integral from 0 to 2 of 2e^{-2x}

Frequently Asked Questions (FAQ)

What is the integral from-5 to 4 of |x| ?
The integral from-5 to 4 of |x| is 41/2