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Popular >

integral from-1 to 2 of x-2|x|

Solution

\int_{- 1}^{2} x - 2 ∣ x ∣ d x

Solution

- \frac{7}{2}

+1

Decimal

- 3.5

Solution steps

\int_{- 1}^{2} x - 2 ∣ x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

- \frac{3}{2} - 2 : - \frac{7}{2}

= - \frac{7}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x-2|x| ?
The integral from-1 to 2 of x-2|x| is -7/2