What is the integral from-3 to 1 of 3x^2+x-10 ?

The integral from-3 to 1 of 3x^2+x-10 is -16

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integral from-3 to 1 of 3x^2+x-10

\int_{- 3}^{1} 3 x^{2} + x - 10 d x

- 16

Solution steps

\int_{- 3}^{1} 3 x^{2} + x - 10 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} 3 x^{2} d x + \int_{- 3}^{1} x d x - \int_{- 3}^{1} 10 d x

\int_{- 3}^{1} 3 x^{2} d x = 28

\int_{- 3}^{1} x d x = - 4

\int_{- 3}^{1} 10 d x = 40

= 28 - 4 - 40

Simplify

= - 16

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What is the integral from-3 to 1 of 3x^2+x-10 ?
The integral from-3 to 1 of 3x^2+x-10 is -16