What is the integral from-0.5 to 0.5 of 12x^2-3 ?

The integral from-0.5 to 0.5 of 12x^2-3 is -1.99999…

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integral from-0.5 to 0.5 of 12x^2-3

\int_{- 0.5}^{0.5} 12 x^{2} - 3 d x

- 1.99999 \dots

Solution steps

\int_{- 0.5}^{0.5} 12 x^{2} - 3 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} 12 x^{2} d x - \int_{- 0.5}^{0.5} 3 d x

\int_{- 0.5}^{0.5} 12 x^{2} d x = 1

\int_{- 0.5}^{0.5} 3 d x = 3

= 1 - 3

Simplify

= - 1.99999 \dots

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What is the integral from-0.5 to 0.5 of 12x^2-3 ?
The integral from-0.5 to 0.5 of 12x^2-3 is -1.99999…