What is the integral from-2 to 2 of x^3-3x+0.5 ?

The integral from-2 to 2 of x^3-3x+0.5 is 2

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integral from-2 to 2 of x^3-3x+0.5

\int_{- 2}^{2} x^{3} - 3 x + 0.5 d x

2

Solution steps

\int_{- 2}^{2} x^{3} - 3 x + 0.5 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}^{2} x^{3} d x - \int_{- 2}^{2} 3 x d x + \int_{- 2}^{2} 0.5 d x

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

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

\int_{- 2}^{2} 0.5 d x = 2

= 0 - 0 + 2

Simplify

= 2

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What is the integral from-2 to 2 of x^3-3x+0.5 ?
The integral from-2 to 2 of x^3-3x+0.5 is 2