What is the integral of (9x^2-9x+2) ?

The integral of (9x^2-9x+2) is 3x^3-(9x^2)/2+2x+C

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integral of (9x^2-9x+2)

\int (9 x^{2} - 9 x + 2) d x

3 x^{3} - \frac{9 x ^{2}}{2} + 2 x + C

Solution steps

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

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

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

\int 2 d x = 2 x

= 3 x^{3} - \frac{9 x ^{2}}{2} + 2 x

Add a constant to the solution

= 3 x^{3} - \frac{9 x ^{2}}{2} + 2 x + C

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What is the integral of (9x^2-9x+2) ?
The integral of (9x^2-9x+2) is 3x^3-(9x^2)/2+2x+C