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Popular >

integral from-2 to 2 of (1-|x|^3)

Solution

\int_{- 2}^{2} (1 - ∣ x ∣^{3}) d x

Solution

- 4

Solution steps

\int_{- 2}^{2} 1 - ∣ x ∣^{3} d x

Eliminate Absolutes

= \int_{- 2}^{0} 1 - (- x)^{3} d x + \int_{0}^{2} 1 - x^{3} d x

\int_{- 2}^{0} 1 - (- x)^{3} d x = - 2

\int_{0}^{2} 1 - x^{3} d x = - 2

= - 2 - 2

Simplify

= - 4

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\int_{- 4}^{- 1} \frac{1}{x} d x

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\int_{0}^{1} \frac{6 x}{x ^{2} + 1} d x

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\int_{0}^{π} (sin^{3} (x)) d x

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\int_{0}^{3} x^{\frac{3}{2}} d x

integral from-1 to 0 of 9x^2(2x^3+2)^2

\int_{- 1}^{0} 9 x^{2} (2 x^{3} + 2)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (1-|x|^3) ?
The integral from-2 to 2 of (1-|x|^3) is -4