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Popular >

integral from 0 to 6 of |x-4|

Solution

\int_{0}^{6} ∣ x - 4 ∣ d x

Solution

10

Solution steps

\int_{0}^{6} ∣ x - 4 ∣ d x

Eliminate Absolutes

= \int_{0}^{4} - x + 4 d x + \int_{4}^{6} x - 4 d x

\int_{0}^{4} - x + 4 d x = 8

\int_{4}^{6} x - 4 d x = 2

= 8 + 2

Simplify

= 10

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of |x-4| ?
The integral from 0 to 6 of |x-4| is 10