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Popular Calculus >

integral from-1 to 2 of x|x|

Solution

\int_{- 1}^{2} x ∣ x ∣ d x

Solution

\frac{7}{3}

+1

Decimal

2.33333 \dots

Solution steps

\int_{- 1}^{2} x ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{2} xx d x = \frac{8}{3}

= - \frac{1}{3} + \frac{8}{3}

Simplify

- \frac{1}{3} + \frac{8}{3} : \frac{7}{3}

= \frac{7}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x|x| ?
The integral from-1 to 2 of x|x| is 7/3