What is the integral from-0.5 to 0.5 of 8x^2-2 ?

The integral from-0.5 to 0.5 of 8x^2-2 is -1.33333…

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integral from-0.5 to 0.5 of 8x^2-2

\int_{- 0.5}^{0.5} 8 x^{2} - 2 d x

- 1.33333 \dots

Solution steps

\int_{- 0.5}^{0.5} 8 x^{2} - 2 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_{- 0.5}^{0.5} 8 x^{2} d x - \int_{- 0.5}^{0.5} 2 d x

\int_{- 0.5}^{0.5} 8 x^{2} d x = 0.66666 \dots

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

= 0.66666 \dots - 2

Simplify

= - 1.33333 \dots

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What is the integral from-0.5 to 0.5 of 8x^2-2 ?
The integral from-0.5 to 0.5 of 8x^2-2 is -1.33333…