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Popular Calculus >

integral from-2 to 2 of |x|-x

Solution

\int_{- 2}^{2} ∣ x ∣ - x d x

Solution

4

Solution steps

\int_{- 2}^{2} ∣ x ∣ - x d x

Eliminate Absolutes

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

\int_{- 2}^{0} - x - x d x = 4

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

= 4 + 0

Simplify

= 4

Graph

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Frequently Asked Questions (FAQ)

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