What is the integral from-2 to 2 of (11-|x|^3) ?

The integral from-2 to 2 of (11-|x|^3) is 36

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integral from-2 to 2 of (11-|x|^3)

\int_{- 2}^{2} (11 - ∣ x ∣^{3}) d x

36

Solution steps

\int_{- 2}^{2} 11 - ∣ x ∣^{3} d x

Eliminate Absolutes

= \int_{- 2}^{0} 11 - (- x)^{3} d x + \int_{0}^{2} 11 - x^{3} d x

\int_{- 2}^{0} 11 - (- x)^{3} d x = 18

\int_{0}^{2} 11 - x^{3} d x = 18

= 18 + 18

Simplify

= 36

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What is the integral from-2 to 2 of (11-|x|^3) ?
The integral from-2 to 2 of (11-|x|^3) is 36