What is the integral from-3 to 3 of (2x^2-18) ?

The integral from-3 to 3 of (2x^2-18) is -72

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integral from-3 to 3 of (2x^2-18)

\int_{- 3}^{3} (2 x^{2} - 18) d x

- 72

Solution steps

\int_{- 3}^{3} 2 x^{2} - 18 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_{- 3}^{3} 2 x^{2} d x - \int_{- 3}^{3} 18 d x

\int_{- 3}^{3} 2 x^{2} d x = 36

\int_{- 3}^{3} 18 d x = 108

= 36 - 108

Simplify

= - 72

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What is the integral from-3 to 3 of (2x^2-18) ?
The integral from-3 to 3 of (2x^2-18) is -72