What is the integral from 0 to 4 of-6x^2-12x+144 ?

The integral from 0 to 4 of-6x^2-12x+144 is 352

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integral from 0 to 4 of-6x^2-12x+144

\int_{0}^{4} - 6 x^{2} - 12 x + 144 d x

352

Solution steps

\int_{0}^{4} - 6 x^{2} - 12 x + 144 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}^{4} 6 x^{2} d x - \int_{0}^{4} 12 x d x + \int_{0}^{4} 144 d x

\int_{0}^{4} 6 x^{2} d x = 128

\int_{0}^{4} 12 x d x = 96

\int_{0}^{4} 144 d x = 576

= - 128 - 96 + 576

Simplify

= 352

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What is the integral from 0 to 4 of-6x^2-12x+144 ?
The integral from 0 to 4 of-6x^2-12x+144 is 352