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

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

\int_{- 2}^{1} (x - 8 ∣ x ∣) d x

- \frac{43}{2}

Decimal Notation

- 21.5

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}

f (x) = \frac{x}{2 x + 3}

\frac{d}{d x} (x^{2} - c x)

\frac{d}{d x} (\frac{3}{2 x ^{2}})

ln (x) \frac{d y}{d x} + \frac{y}{x} = x ln (x)

\frac{d}{d x} ((3 - 5 x)^{5})

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