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Popular >

integral from-3 to 3 of (3-|x|)

Solution

\int_{- 3}^{3} (3 - ∣ x ∣) d x

Solution

9

Solution steps

\int_{- 3}^{3} 3 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{0} 3 - (- x) d x = \frac{9}{2}

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

= \frac{9}{2} + \frac{9}{2}

Simplify

\frac{9}{2} + \frac{9}{2} : 9

= 9

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(2.3) (5.2)

f^{^{'}} (x) = x ∣ x ∣

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (3-|x|) ?
The integral from-3 to 3 of (3-|x|) is 9