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Popular >

integral from-2 to 2 of (5-|x|^3)

Solution

\int_{- 2}^{2} (5 - ∣ x ∣^{3}) d x

Solution

12

Solution steps

\int_{- 2}^{2} 5 - ∣ x ∣^{3} d x

Eliminate Absolutes

= \int_{- 2}^{0} 5 - (- x)^{3} d x + \int_{0}^{2} 5 - x^{3} d x

\int_{- 2}^{0} 5 - (- x)^{3} d x = 6

\int_{0}^{2} 5 - x^{3} d x = 6

= 6 + 6

Simplify

= 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (5-|x|^3) ?
The integral from-2 to 2 of (5-|x|^3) is 12