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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 2 of (x-8|x|)

\int_{- 1}^{2} (x - 8 ∣ x ∣) d x

- \frac{37}{2}

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}

\frac{d}{d x} (x^{\frac{4}{5}} \cdot (x - 4)^{2})

\int \frac{1}{w ^{2}} d w

\int x^{4} \cdot 2^{x^{5} + 7} d x

\int \frac{19}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

\int cos (\frac{n x}{2}) d x

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