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Popular Calculus >

integral from 0 to 4 of |x-2|

Solution

\int_{0}^{4} ∣ x - 2 ∣ d x

Solution

4

Solution steps

\int_{0}^{4} ∣ x - 2 ∣ d x

Eliminate Absolutes

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

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

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

= 2 + 2

Simplify

= 4

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |x-2| ?
The integral from 0 to 4 of |x-2| is 4