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Popular Calculus >

integral from-4 to 4 of (4-|x|)

Solution

\int_{- 4}^{4} (4 - ∣ x ∣) d x

Solution

16

Solution steps

\int_{- 4}^{4} 4 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 4}^{0} 4 - (- x) d x = 8

\int_{0}^{4} 4 - x d x = 8

= 8 + 8

Simplify

= 16

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (4-|x|) ?
The integral from-4 to 4 of (4-|x|) is 16