What is the integral from 0 to 6 of 6y^3-6y^2 ?

The integral from 0 to 6 of 6y^3-6y^2 is 1512

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integral from 0 to 6 of 6y^3-6y^2

\int_{0}^{6} 6 y^{3} - 6 y^{2} d y

1512

Solution steps

\int_{0}^{6} 6 y^{3} - 6 y^{2} d y

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 y^{3} d y - \int_{0}^{6} 6 y^{2} d y

\int_{0}^{6} 6 y^{3} d y = 1944

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

= 1944 - 432

Simplify

= 1512

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What is the integral from 0 to 6 of 6y^3-6y^2 ?
The integral from 0 to 6 of 6y^3-6y^2 is 1512