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Popular >

integral from 0 to 3 of |2-x|

Solution

\int_{0}^{3} ∣ 2 - x ∣ d x

Solution

\frac{5}{2}

+1

Decimal

2.5

Solution steps

\int_{0}^{3} ∣ 2 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{2} 2 - x d x + \int_{2}^{3} - 2 + x d x

\int_{0}^{2} 2 - x d x = 2

\int_{2}^{3} - 2 + x 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 0 to 3 of |2-x| ?
The integral from 0 to 3 of |2-x| is 5/2