What is the integral from 0 to 6 of-3x^2-9x+162 ?

The integral from 0 to 6 of-3x^2-9x+162 is 594

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integral from 0 to 6 of-3x^2-9x+162

\int_{0}^{6} - 3 x^{2} - 9 x + 162 d x

594

Solution steps

\int_{0}^{6} - 3 x^{2} - 9 x + 162 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} 3 x^{2} d x - \int_{0}^{6} 9 x d x + \int_{0}^{6} 162 d x

\int_{0}^{6} 3 x^{2} d x = 216

\int_{0}^{6} 9 x d x = 162

\int_{0}^{6} 162 d x = 972

= - 216 - 162 + 972

Simplify

= 594

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What is the integral from 0 to 6 of-3x^2-9x+162 ?
The integral from 0 to 6 of-3x^2-9x+162 is 594