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Popular Calculus >

integral from 0 to 8 of (6-|x-2|)

Solution

\int_{0}^{8} (6 - ∣ x - 2 ∣) d x

Solution

28

Solution steps

\int_{0}^{8} 6 - ∣ x - 2 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} 6 - (- x + 2) d x + \int_{2}^{8} 6 - (x - 2) d x

\int_{0}^{2} 6 - (- x + 2) d x = 10

\int_{2}^{8} 6 - (x - 2) d x = 18

= 10 + 18

Simplify

= 28

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of (6-|x-2|) ?
The integral from 0 to 8 of (6-|x-2|) is 28