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Popular >

integral from-3 to 2 of 3|x|

Solution

\int_{- 3}^{2} 3 ∣ x ∣ d x

Solution

\frac{39}{2}

+1

Decimal

19.5

Solution steps

\int_{- 3}^{2} 3 ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 3}^{0} 3 (- x) d x + \int_{0}^{2} 3 x d x

\int_{- 3}^{0} 3 (- x) d x = \frac{27}{2}

\int_{0}^{2} 3 x d x = 6

= \frac{27}{2} + 6

Simplify

\frac{27}{2} + 6 : \frac{39}{2}

= \frac{39}{2}

Graph

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\int_{3}^{14} 5 e^{0.04 t} d t

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of 3|x| ?
The integral from-3 to 2 of 3|x| is 39/2