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Popular >

integral from-2 to 5 of |x-2|

Solution

\int_{- 2}^{5} ∣ x - 2 ∣ d x

Solution

\frac{25}{2}

+1

Decimal Notation

12.5

Solution steps

\int_{- 2}^{5} ∣ x - 2 ∣ d x

Eliminate Absolutes

= \int_{- 2}^{2} - x + 2 d x + \int_{2}^{5} x - 2 d x

\int_{- 2}^{2} - x + 2 d x = 8

\int_{2}^{5} x - 2 d x = \frac{9}{2}

= 8 + \frac{9}{2}

Simplify

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

= \frac{25}{2}

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of |x-2| ?
The integral from-2 to 5 of |x-2| is 25/2