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Popular >

integral from-4 to 3 of | 1/2 x|

Solution

\int_{- 4}^{3} \frac{1}{2} x d x

Solution

\frac{25}{4}

+1

Decimal

6.25

Solution steps

\int_{- 4}^{3} \frac{1}{2} x d x

Eliminate Absolutes

= \int_{- 4}^{0} - \frac{x}{2} d x + \int_{0}^{3} \frac{1}{2} x d x

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

\int_{0}^{3} \frac{1}{2} x d x = \frac{9}{4}

= 4 + \frac{9}{4}

Simplify

4 + \frac{9}{4} : \frac{25}{4}

= \frac{25}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 3 of | 1/2 x| ?
The integral from-4 to 3 of | 1/2 x| is 25/4