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Popular >

integral from-3 to 3 of (2-|x|)

Solution

\int_{- 3}^{3} (2 - ∣ x ∣) d x

Solution

3

Solution steps

\int_{- 3}^{3} 2 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

\frac{3}{2} + \frac{3}{2} : 3

= 3

Graph

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Frequently Asked Questions (FAQ)

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