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Popular Calculus >

integral from 0 to 7 of |5-x|

Solution

\int_{0}^{7} ∣ 5 - x ∣ d x

Solution

\frac{29}{2}

+1

Decimal

14.5

Solution steps

\int_{0}^{7} ∣ 5 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{5} 5 - x d x + \int_{5}^{7} - 5 + x d x

\int_{0}^{5} 5 - x d x = \frac{25}{2}

\int_{5}^{7} - 5 + x d x = 2

= \frac{25}{2} + 2

Simplify

\frac{25}{2} + 2 : \frac{29}{2}

= \frac{29}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of |5-x| ?
The integral from 0 to 7 of |5-x| is 29/2