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Popular Calculus >

integral from-6 to 6 of (6-|x|)

Solution

\int_{- 6}^{6} (6 - ∣ x ∣) d x

Solution

36

Solution steps

\int_{- 6}^{6} 6 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 6}^{0} 6 - (- x) d x + \int_{0}^{6} 6 - x d x

\int_{- 6}^{0} 6 - (- x) d x = 18

\int_{0}^{6} 6 - x d x = 18

= 18 + 18

Simplify

= 36

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-6 to 6 of (6-|x|) ?
The integral from-6 to 6 of (6-|x|) is 36