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Popular Calculus >

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

Solution

\int_{- 2}^{2} (3 - ∣ x ∣^{3}) d x

Solution

4

Solution steps

\int_{- 2}^{2} 3 - ∣ x ∣^{3} d x

Eliminate Absolutes

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

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

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

= 2 + 2

Simplify

= 4

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (3-|x|^3) ?
The integral from-2 to 2 of (3-|x|^3) is 4