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Popular Calculus >

integral from 0 to 7 of |x-6|

Solution

\int_{0}^{7} ∣ x - 6 ∣ d x

Solution

\frac{37}{2}

+1

Decimal

18.5

Solution steps

\int_{0}^{7} ∣ x - 6 ∣ d x

Eliminate Absolutes

= \int_{0}^{6} - x + 6 d x + \int_{6}^{7} x - 6 d x

\int_{0}^{6} - x + 6 d x = 18

\int_{6}^{7} x - 6 d x = \frac{1}{2}

= 18 + \frac{1}{2}

Simplify

18 + \frac{1}{2} : \frac{37}{2}

= \frac{37}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of |x-6| ?
The integral from 0 to 7 of |x-6| is 37/2