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Popular >

integral from-3 to 3 of |x-1|

Solution

\int_{- 3}^{3} ∣ x - 1 ∣ d x

Solution

10

Solution steps

\int_{- 3}^{3} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

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

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

= 8 + 2

Simplify

= 10

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of |x-1| ?
The integral from-3 to 3 of |x-1| is 10