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Popular Calculus >

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

Solution

\int_{- 2}^{3} (3 - ∣ x ∣) d x

Solution

\frac{17}{2}

+1

Decimal

8.5

Solution steps

\int_{- 2}^{3} 3 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 2}^{0} 3 - (- x) d x = 4

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

= 4 + \frac{9}{2}

Simplify

4 + \frac{9}{2} : \frac{17}{2}

= \frac{17}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (3-|x|) ?
The integral from-2 to 3 of (3-|x|) is 17/2