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Popular >

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

Solution

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

Solution

9

Solution steps

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

\int_{0}^{3} 6 y d y = 27

\int_{0}^{3} 2 y^{2} d y = 18

= 27 - 18

Simplify

= 9

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 6y-2y^2 ?
The integral from 0 to 3 of 6y-2y^2 is 9