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Popular Calculus >

integral from 1 to 6 of |4x-12|

Solution

\int_{1}^{6} ∣ 4 x - 12 ∣ d x

Solution

26

Solution steps

\int_{1}^{6} ∣ 4 x - 12 ∣ d x

Eliminate Absolutes

= \int_{1}^{3} - 4 x + 12 d x + \int_{3}^{6} 4 x - 12 d x

\int_{1}^{3} - 4 x + 12 d x = 8

\int_{3}^{6} 4 x - 12 d x = 18

= 8 + 18

Simplify

= 26

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of |4x-12| ?
The integral from 1 to 6 of |4x-12| is 26