What is the integral from-3 to 1 of (6x^2-5x+2) ?

The integral from-3 to 1 of (6x^2-5x+2) is 84

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integral from-3 to 1 of (6x^2-5x+2)

\int_{- 3}^{1} (6 x^{2} - 5 x + 2) d x

84

Solution steps

\int_{- 3}^{1} 6 x^{2} - 5 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_{- 3}^{1} 6 x^{2} d x - \int_{- 3}^{1} 5 x d x + \int_{- 3}^{1} 2 d x

\int_{- 3}^{1} 6 x^{2} d x = 56

\int_{- 3}^{1} 5 x d x = - 20

\int_{- 3}^{1} 2 d x = 8

= 56 - (- 20) + 8

Simplify

= 84

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What is the integral from-3 to 1 of (6x^2-5x+2) ?
The integral from-3 to 1 of (6x^2-5x+2) is 84