What is the integral from-3 to 1 of 5x^3-35x+30 ?

The integral from-3 to 1 of 5x^3-35x+30 is 160

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integral from-3 to 1 of 5x^3-35x+30

\int_{- 3}^{1} 5 x^{3} - 35 x + 30 d x

160

Solution steps

\int_{- 3}^{1} 5 x^{3} - 35 x + 30 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} 5 x^{3} d x - \int_{- 3}^{1} 35 x d x + \int_{- 3}^{1} 30 d x

\int_{- 3}^{1} 5 x^{3} d x = - 100

\int_{- 3}^{1} 35 x d x = - 140

\int_{- 3}^{1} 30 d x = 120

= - 100 - (- 140) + 120

Simplify

= 160

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What is the integral from-3 to 1 of 5x^3-35x+30 ?
The integral from-3 to 1 of 5x^3-35x+30 is 160