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Popular Calculus >

integral from-3 to 4 of |x-1|

Solution

\int_{- 3}^{4} ∣ x - 1 ∣ d x

Solution

\frac{25}{2}

+1

Decimal

12.5

Solution steps

\int_{- 3}^{4} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

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

\int_{1}^{4} x - 1 d x = \frac{9}{2}

= 8 + \frac{9}{2}

Simplify

8 + \frac{9}{2} : \frac{25}{2}

= \frac{25}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of |x-1| ?
The integral from-3 to 4 of |x-1| is 25/2