What is the integral from 2 to 3 of (3x^2-4x+2) ?

The integral from 2 to 3 of (3x^2-4x+2) is 11

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integral from 2 to 3 of (3x^2-4x+2)

\int_{2}^{3} (3 x^{2} - 4 x + 2) d x

11

Solution steps

\int_{2}^{3} 3 x^{2} - 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_{2}^{3} 3 x^{2} d x - \int_{2}^{3} 4 x d x + \int_{2}^{3} 2 d x

\int_{2}^{3} 3 x^{2} d x = 19

\int_{2}^{3} 4 x d x = 10

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

= 19 - 10 + 2

Simplify

= 11

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What is the integral from 2 to 3 of (3x^2-4x+2) ?
The integral from 2 to 3 of (3x^2-4x+2) is 11