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

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

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

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

- 1

Solution steps

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

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

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

= 1 - 2

Simplify

= - 1

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