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Popular >

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

Solution

\int_{- 2}^{6} (2 - ∣ x ∣) d x

Solution

- 4

Solution steps

\int_{- 2}^{6} 2 - ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{6} 2 - x d x = - 6

= 2 - 6

Simplify

= - 4

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 6 of (2-|x|) ?
The integral from-2 to 6 of (2-|x|) is -4