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 1 of x-8|x|

Solution

\int_{- 2}^{1} x - 8 ∣ x ∣ d x

Solution

- \frac{43}{2}

+1

Solution steps

\int_{- 2}^{1} x - 8 ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} x - 8 (- x) d x + \int_{0}^{1} x - 8 x d x

\int_{- 2}^{0} x - 8 (- x) d x = - 18

\int_{0}^{1} x - 8 x d x = - \frac{7}{2}

= - 18 - \frac{7}{2}

Simplify

- 18 - \frac{7}{2} : - \frac{43}{2}

= - \frac{43}{2}

Popular Examples

integral from 0 to 4 of t^2

\int_{0}^{4} t^{2} d t

integral from 1 to 2 of 1/(x^2-1)

\int_{1}^{2} \frac{1}{x ^{2} - 1} d x

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

\int_{1}^{2} x^{2} - 2 x d x

integral from 2 to 9 of (4x+10)

\int_{2}^{9} (4 x + 10) d x

integral from-1 to 1 of ((12)/(x^4)-3)

\int_{- 1}^{1} (\frac{12}{x ^{4}} - 3) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x-8|x| ?
The integral from-2 to 1 of x-8|x| is -43/2