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Popular Calculus >

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

Solution

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

Solution

9

Solution steps

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

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

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

= 27 - 18

Simplify

= 9

Graph

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Frequently Asked Questions (FAQ)

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