What is the integral from-2 to 2 of (17-|x|^3) ?

The integral from-2 to 2 of (17-|x|^3) is 60

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integral from-2 to 2 of (17-|x|^3)

\int_{- 2}^{2} (17 - ∣ x ∣^{3}) d x

60

Solution steps

\int_{- 2}^{2} 17 - ∣ x ∣^{3} d x

Eliminate Absolutes

= \int_{- 2}^{0} 17 - (- x)^{3} d x + \int_{0}^{2} 17 - x^{3} d x

\int_{- 2}^{0} 17 - (- x)^{3} d x = 30

\int_{0}^{2} 17 - x^{3} d x = 30

= 30 + 30

Simplify

= 60

What is the integral from-2 to 2 of (17-|x|^3) ?
The integral from-2 to 2 of (17-|x|^3) is 60