What is the integral from 0 to 8 of-6x^2-6x+432 ?

The integral from 0 to 8 of-6x^2-6x+432 is 2240

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integral from 0 to 8 of-6x^2-6x+432

\int_{0}^{8} - 6 x^{2} - 6 x + 432 d x

2240

Solution steps

\int_{0}^{8} - 6 x^{2} - 6 x + 432 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}^{8} 6 x^{2} d x - \int_{0}^{8} 6 x d x + \int_{0}^{8} 432 d x

\int_{0}^{8} 6 x^{2} d x = 1024

\int_{0}^{8} 6 x d x = 192

\int_{0}^{8} 432 d x = 3456

= - 1024 - 192 + 3456

Simplify

= 2240

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What is the integral from 0 to 8 of-6x^2-6x+432 ?
The integral from 0 to 8 of-6x^2-6x+432 is 2240