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Popular Calculus >

integral from-7 to 6 of |x|

Solution

\int_{- 7}^{6} ∣ x ∣ d x

Solution

\frac{85}{2}

+1

Decimal

42.5

Solution steps

\int_{- 7}^{6} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 7}^{0} - x d x + \int_{0}^{6} x d x

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

\int_{0}^{6} x d x = 18

= \frac{49}{2} + 18

Simplify

\frac{49}{2} + 18 : \frac{85}{2}

= \frac{85}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-7 to 6 of |x| ?
The integral from-7 to 6 of |x| is 85/2