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Popular Calculus >

integral from-2 to 2 of (7-|x|^3)

Solution

\int_{- 2}^{2} (7 - ∣ x ∣^{3}) d x

Solution

20

Solution steps

\int_{- 2}^{2} 7 - ∣ x ∣^{3} d x

Eliminate Absolutes

= \int_{- 2}^{0} 7 - (- x)^{3} d x + \int_{0}^{2} 7 - x^{3} d x

\int_{- 2}^{0} 7 - (- x)^{3} d x = 10

\int_{0}^{2} 7 - x^{3} d x = 10

= 10 + 10

Simplify

= 20

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (7-|x|^3) ?
The integral from-2 to 2 of (7-|x|^3) is 20