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Popular Calculus >

integral from 0 to 13 of |x-9|

Solution

\int_{0}^{13} ∣ x - 9 ∣ d x

Solution

\frac{97}{2}

+1

Decimal

48.5

Solution steps

\int_{0}^{13} ∣ x - 9 ∣ d x

Eliminate Absolutes

= \int_{0}^{9} - x + 9 d x + \int_{9}^{13} x - 9 d x

\int_{0}^{9} - x + 9 d x = \frac{81}{2}

\int_{9}^{13} x - 9 d x = 8

= \frac{81}{2} + 8

Simplify

\frac{81}{2} + 8 : \frac{97}{2}

= \frac{97}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 13 of |x-9| ?
The integral from 0 to 13 of |x-9| is 97/2