What is the integral from 2 to 8 of 5x^2+3x+5 ?

The integral from 2 to 8 of 5x^2+3x+5 is 960

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integral from 2 to 8 of 5x^2+3x+5

\int_{2}^{8} 5 x^{2} + 3 x + 5 d x

960

Solution steps

\int_{2}^{8} 5 x^{2} + 3 x + 5 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}^{8} 5 x^{2} d x + \int_{2}^{8} 3 x d x + \int_{2}^{8} 5 d x

\int_{2}^{8} 5 x^{2} d x = 840

\int_{2}^{8} 3 x d x = 90

\int_{2}^{8} 5 d x = 30

= 840 + 90 + 30

Simplify

= 960

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What is the integral from 2 to 8 of 5x^2+3x+5 ?
The integral from 2 to 8 of 5x^2+3x+5 is 960