What is the integral from 0 to 6 of (180x-4x^2) ?

The integral from 0 to 6 of (180x-4x^2) is 2952

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integral from 0 to 6 of (180x-4x^2)

\int_{0}^{6} (180 x - 4 x^{2}) d x

2952

Solution steps

\int_{0}^{6} 180 x - 4 x^{2} 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} 180 x d x - \int_{0}^{6} 4 x^{2} d x

\int_{0}^{6} 180 x d x = 3240

\int_{0}^{6} 4 x^{2} d x = 288

= 3240 - 288

Simplify

= 2952

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What is the integral from 0 to 6 of (180x-4x^2) ?
The integral from 0 to 6 of (180x-4x^2) is 2952