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 2 of x-8|x|

Solution

\int_{- 1}^{2} x - 8 ∣ x ∣ d x

Solution

- \frac{37}{2}

+1

Decimal

- 18.5

Solution steps

\int_{- 1}^{2} x - 8 ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 1}^{0} x - 8 (- x) d x = - \frac{9}{2}

\int_{0}^{2} x - 8 x d x = - 14

= - \frac{9}{2} - 14

Simplify

- \frac{9}{2} - 14 : - \frac{37}{2}

= - \frac{37}{2}

Graph

Popular Examples

integral from-9 to 9 of xsqrt(81-x^2)

\int_{- 9}^{9} x 81 - x^{2} d x

integral from 0 to sin(x) of sin(t^2)

\int_{0}^{s i n (x)} sin (t^{2}) d t

integral from-1 to 0 of (x+1)sin(npix)

\int_{- 1}^{0} (x + 1) sin (nπ x) d x

integral from-e to e of xln(x^2+1)

\int_{- e}^{e} x ln (x^{2} + 1) d x

integral from 0 to 1.5 of 4arctan(x)

\int_{0}^{1.5} 4 arctan (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x-8|x| ?
The integral from-1 to 2 of x-8|x| is -37/2