What is the integral from 0 to 1 of 9x^2-34x+25 ?

The integral from 0 to 1 of 9x^2-34x+25 is 11

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integral from 0 to 1 of 9x^2-34x+25

\int_{0}^{1} 9 x^{2} - 34 x + 25 d x

11

Solution steps

\int_{0}^{1} 9 x^{2} - 34 x + 25 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}^{1} 9 x^{2} d x - \int_{0}^{1} 34 x d x + \int_{0}^{1} 25 d x

\int_{0}^{1} 9 x^{2} d x = 3

\int_{0}^{1} 34 x d x = 17

\int_{0}^{1} 25 d x = 25

= 3 - 17 + 25

Simplify

= 11

What is the integral from 0 to 1 of 9x^2-34x+25 ?
The integral from 0 to 1 of 9x^2-34x+25 is 11