What is the integral from 0 to 7 of 3x^2-30x+72 ?

The integral from 0 to 7 of 3x^2-30x+72 is 112

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integral from 0 to 7 of 3x^2-30x+72

\int_{0}^{7} 3 x^{2} - 30 x + 72 d x

112

Solution steps

\int_{0}^{7} 3 x^{2} - 30 x + 72 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}^{7} 3 x^{2} d x - \int_{0}^{7} 30 x d x + \int_{0}^{7} 72 d x

\int_{0}^{7} 3 x^{2} d x = 343

\int_{0}^{7} 30 x d x = 735

\int_{0}^{7} 72 d x = 504

= 343 - 735 + 504

Simplify

= 112

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What is the integral from 0 to 7 of 3x^2-30x+72 ?
The integral from 0 to 7 of 3x^2-30x+72 is 112