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Popular Calculus >

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

Solution

\int_{- 2}^{3} (2 - ∣ x ∣) d x

Solution

\frac{7}{2}

+1

Decimal

3.5

Solution steps

\int_{- 2}^{3} 2 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= 2 + \frac{3}{2}

Simplify

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

= \frac{7}{2}

Graph

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Frequently Asked Questions (FAQ)

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