What is the integral of 9x^2-34x+25 ?

The integral of 9x^2-34x+25 is 3x^3-17x^2+25x+C

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integral of 9x^2-34x+25

\int 9 x^{2} - 34 x + 25 d x

3 x^{3} - 17 x^{2} + 25 x + C

Solution steps

\int 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 9 x^{2} d x - \int 34 x d x + \int 25 d x

\int 9 x^{2} d x = 3 x^{3}

\int 34 x d x = 17 x^{2}

\int 25 d x = 25 x

= 3 x^{3} - 17 x^{2} + 25 x

Add a constant to the solution

= 3 x^{3} - 17 x^{2} + 25 x + C

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What is the integral of 9x^2-34x+25 ?
The integral of 9x^2-34x+25 is 3x^3-17x^2+25x+C