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Popular Calculus >

integral from 0 to 11 of |x-7|

Solution

\int_{0}^{11} ∣ x - 7 ∣ d x

Solution

\frac{65}{2}

+1

Decimal

32.5

Solution steps

\int_{0}^{11} ∣ x - 7 ∣ d x

Eliminate Absolutes

= \int_{0}^{7} - x + 7 d x + \int_{7}^{11} x - 7 d x

\int_{0}^{7} - x + 7 d x = \frac{49}{2}

\int_{7}^{11} x - 7 d x = 8

= \frac{49}{2} + 8

Simplify

\frac{49}{2} + 8 : \frac{65}{2}

= \frac{65}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 11 of |x-7| ?
The integral from 0 to 11 of |x-7| is 65/2