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Popular Calculus >

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

Solution

\int_{- 1}^{2} ∣ x - 1 ∣ d x

Solution

\frac{5}{2}

+1

Decimal

2.5

Solution steps

\int_{- 1}^{2} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

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

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

= 2 + \frac{1}{2}

Simplify

2 + \frac{1}{2} : \frac{5}{2}

= \frac{5}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of |x-1| ?
The integral from-1 to 2 of |x-1| is 5/2