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Popular Calculus >

integral from 0 to 16 of |x-8|

Solution

\int_{0}^{16} ∣ x - 8 ∣ d x

Solution

64

Solution steps

\int_{0}^{16} ∣ x - 8 ∣ d x

Eliminate Absolutes

= \int_{0}^{8} - x + 8 d x + \int_{8}^{16} x - 8 d x

\int_{0}^{8} - x + 8 d x = 32

\int_{8}^{16} x - 8 d x = 32

= 32 + 32

Simplify

= 64

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 16 of |x-8| ?
The integral from 0 to 16 of |x-8| is 64