What is the integral from-7 to 8 of | 1/2 x| ?

The integral from-7 to 8 of | 1/2 x| is 113/4

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integral from-7 to 8 of | 1/2 x|

\int_{- 7}^{8} \frac{1}{2} x d x

\frac{113}{4}

Decimal

28.25

Solution steps

\int_{- 7}^{8} \frac{1}{2} x d x

Eliminate Absolutes

= \int_{- 7}^{0} - \frac{x}{2} d x + \int_{0}^{8} \frac{1}{2} x d x

\int_{- 7}^{0} - \frac{x}{2} d x = \frac{49}{4}

\int_{0}^{8} \frac{1}{2} x d x = 16

= \frac{49}{4} + 16

Simplify

\frac{49}{4} + 16 : \frac{113}{4}

= \frac{113}{4}

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What is the integral from-7 to 8 of | 1/2 x| ?
The integral from-7 to 8 of | 1/2 x| is 113/4