What is the integral from-1 to 2 of (x-6|x|) ?

The integral from-1 to 2 of (x-6|x|) is -27/2

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integral from-1 to 2 of (x-6|x|)

\int_{- 1}^{2} (x - 6 ∣ x ∣) d x

- \frac{27}{2}

Decimal Notation

- 13.5

Solution steps

\int_{- 1}^{2} x - 6 ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} x - 6 (- x) d x + \int_{0}^{2} x - 6 x d x

\int_{- 1}^{0} x - 6 (- x) d x = - \frac{7}{2}

\int_{0}^{2} x - 6 x d x = - 10

= - \frac{7}{2} - 10

Simplify

- \frac{7}{2} - 10 : - \frac{27}{2}

= - \frac{27}{2}

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What is the integral from-1 to 2 of (x-6|x|) ?
The integral from-1 to 2 of (x-6|x|) is -27/2