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Popular Calculus >

integral from-2 to 7 of (-|x|)

Solution

\int_{- 2}^{7} (- ∣ x ∣) d x

Solution

- \frac{53}{2}

+1

Decimal

- 26.5

Solution steps

\int_{- 2}^{7} - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} - (- x) d x + \int_{0}^{7} - x d x

\int_{- 2}^{0} - (- x) d x = - 2

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

= - 2 - \frac{49}{2}

Simplify

- 2 - \frac{49}{2} : - \frac{53}{2}

= - \frac{53}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 7 of (-|x|) ?
The integral from-2 to 7 of (-|x|) is -53/2