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Popular Calculus >

integral from 0 to 5 of 4|x-4|

Solution

\int_{0}^{5} 4 ∣ x - 4 ∣ d x

Solution

34

Solution steps

\int_{0}^{5} 4 ∣ x - 4 ∣ d x

Eliminate Absolutes

= \int_{0}^{4} 4 (- x + 4) d x + \int_{4}^{5} 4 (x - 4) d x

\int_{0}^{4} 4 (- x + 4) d x = 32

\int_{4}^{5} 4 (x - 4) d x = 2

= 32 + 2

Simplify

= 34

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 4|x-4| ?
The integral from 0 to 5 of 4|x-4| is 34