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Popular >

integral from-8 to 8 of (8-|x|)

Solution

\int_{- 8}^{8} (8 - ∣ x ∣) d x

Solution

64

Solution steps

\int_{- 8}^{8} 8 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 8}^{0} 8 - (- x) d x = 32

\int_{0}^{8} 8 - x d x = 32

= 32 + 32

Simplify

= 64

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Frequently Asked Questions (FAQ)

What is the integral from-8 to 8 of (8-|x|) ?
The integral from-8 to 8 of (8-|x|) is 64