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Popular Calculus >

integral from 1 to 6 of |2x-6|

Solution

\int_{1}^{6} ∣ 2 x - 6 ∣ d x

Solution

13

Solution steps

\int_{1}^{6} ∣ 2 x - 6 ∣ d x

Eliminate Absolutes

= \int_{1}^{3} - 2 x + 6 d x + \int_{3}^{6} 2 x - 6 d x

\int_{1}^{3} - 2 x + 6 d x = 4

\int_{3}^{6} 2 x - 6 d x = 9

= 4 + 9

Simplify

= 13

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of |2x-6| ?
The integral from 1 to 6 of |2x-6| is 13