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Popular Calculus >

integral from-2 to 4 of |-2x+4|

Solution

\int_{- 2}^{4} ∣ - 2 x + 4 ∣ d x

Solution

20

Solution steps

\int_{- 2}^{4} ∣ - 2 x + 4 ∣ d x

Eliminate Absolutes

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

\int_{- 2}^{2} - 2 x + 4 d x = 16

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

= 16 + 4

Simplify

= 20

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of |-2x+4| ?
The integral from-2 to 4 of |-2x+4| is 20