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

The integral from-1 to 2 of sqrt(|x|-x) is -(2sqrt(2))/3

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

\int_{- 1}^{2} ∣ x ∣ - x d x

- \frac{2 2}{3}

Decimal

- 0.94280 \dots

Solution steps

\int_{- 1}^{2} ∣ x ∣ - x d x

Eliminate Absolutes

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

\int_{- 1}^{0} - x - x d x = - \frac{2 2}{3}

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

= - \frac{2 2}{3} + 0

Simplify

= - \frac{2 2}{3}

What is the integral from-1 to 2 of sqrt(|x|-x) ?
The integral from-1 to 2 of sqrt(|x|-x) is -(2sqrt(2))/3