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Popular Calculus >

integral from-2 to 3 of |x-1|

Solution

\int_{- 2}^{3} ∣ x - 1 ∣ d x

Solution

\frac{13}{2}

+1

Decimal

6.5

Solution steps

\int_{- 2}^{3} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

\int_{- 2}^{1} - x + 1 d x = \frac{9}{2}

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

= \frac{9}{2} + 2

Simplify

\frac{9}{2} + 2 : \frac{13}{2}

= \frac{13}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of |x-1| ?
The integral from-2 to 3 of |x-1| is 13/2