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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

Popular Examples

integral from 3 to 5 of (x-3)/(x-2)

\int_{3}^{5} \frac{x - 3}{x - 2} d x

integral from-3 to-1 of (x^2+x+7)

\int_{- 3}^{- 1} (x^{2} + x + 7) d x

integral from 0 to 1 of (e^x+2)/(e^x+2x)

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

integral from 0 to 4 of f(t)

\int_{0}^{4} f (t) d t

integral from 0 to 2pi of 3cos^2(t)

\int_{0}^{2 π} 3 cos^{2} (t) d t

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