What is the integral from-sqrt(2) to 0 of x^3-2x ?

The integral from-sqrt(2) to 0 of x^3-2x is 1

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integral from-sqrt(2) to 0 of x^3-2x

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

1

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

= - 1 - (- 2)

Simplify

= 1

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What is the integral from-sqrt(2) to 0 of x^3-2x ?
The integral from-sqrt(2) to 0 of x^3-2x is 1