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Popular >

integral from-2 to 2 of x|x^2-1|

Solution

\int_{- 2}^{2} x x^{2} - 1 d x

Solution

0

Solution steps

\int_{- 2}^{2} x x^{2} - 1 d x

Eliminate Absolutes

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

\int_{- 2}^{- 1} x (x^{2} - 1) d x = - \frac{9}{4}

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

\int_{1}^{2} x (x^{2} - 1) d x = \frac{9}{4}

= - \frac{9}{4} + 0 + \frac{9}{4}

Simplify

= 0

Popular Examples

integral from 1 to 4 of 4x+sqrt(x)

\int_{1}^{4} 4 x + x d x

integral from 0 to 3 of 1/(sqrt(36-z^2))

\int_{0}^{3} \frac{1}{36 - z ^{2}} d z

integral from 1 to pi/2 of sqrt(sin(x))

\int_{1}^{\frac{π}{2}} sin (x) d x

integral from-4 to-1 of (-2x^2-12x-12)

\int_{- 4}^{- 1} (- 2 x^{2} - 12 x - 12) d x

integral from-1 to 0 of 4(e^{1/x})/(x^3)

\int_{- 1}^{0} 4 \frac{e ^{\frac{1}{x}}}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of x|x^2-1| ?
The integral from-2 to 2 of x|x^2-1| is 0