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Popular Calculus >

integral from-3 to 3 of x+2|x|

Solution

\int_{- 3}^{3} x + 2 ∣ x ∣ d x

Solution

18

Solution steps

\int_{- 3}^{3} x + 2 ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{0} x + 2 (- x) d x = \frac{9}{2}

\int_{0}^{3} x + 2 x d x = \frac{27}{2}

= \frac{9}{2} + \frac{27}{2}

Simplify

\frac{9}{2} + \frac{27}{2} : 18

= 18

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of x+2|x| ?
The integral from-3 to 3 of x+2|x| is 18