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Popular Calculus >

integral from-4 to 5 of |x|

Solution

\int_{- 4}^{5} ∣ x ∣ d x

Solution

\frac{41}{2}

+1

Decimal

20.5

Solution steps

\int_{- 4}^{5} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 4}^{0} - x d x + \int_{0}^{5} x d x

\int_{- 4}^{0} - x d x = 8

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

= 8 + \frac{25}{2}

Simplify

8 + \frac{25}{2} : \frac{41}{2}

= \frac{41}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 5 of |x| ?
The integral from-4 to 5 of |x| is 41/2