What is the integral from 0 to 6 of-6x^2-12x+288 ?

The integral from 0 to 6 of-6x^2-12x+288 is 1080

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integral from 0 to 6 of-6x^2-12x+288

\int_{0}^{6} - 6 x^{2} - 12 x + 288 d x

1080

Solution steps

\int_{0}^{6} - 6 x^{2} - 12 x + 288 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}^{6} 6 x^{2} d x - \int_{0}^{6} 12 x d x + \int_{0}^{6} 288 d x

\int_{0}^{6} 6 x^{2} d x = 432

\int_{0}^{6} 12 x d x = 216

\int_{0}^{6} 288 d x = 1728

= - 432 - 216 + 1728

Simplify

= 1080

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What is the integral from 0 to 6 of-6x^2-12x+288 ?
The integral from 0 to 6 of-6x^2-12x+288 is 1080