What is the integral from 0 to 6 of 2x^2-x+100 ?

The integral from 0 to 6 of 2x^2-x+100 is 726

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integral from 0 to 6 of 2x^2-x+100

\int_{0}^{6} 2 x^{2} - x + 100 d x

726

Solution steps

\int_{0}^{6} 2 x^{2} - x + 100 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_{0}^{6} 2 x^{2} d x - \int_{0}^{6} x d x + \int_{0}^{6} 100 d x

\int_{0}^{6} 2 x^{2} d x = 144

\int_{0}^{6} x d x = 18

\int_{0}^{6} 100 d x = 600

= 144 - 18 + 600

Simplify

= 726

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What is the integral from 0 to 6 of 2x^2-x+100 ?
The integral from 0 to 6 of 2x^2-x+100 is 726