What is the integral of 3x^2-24x+36 ?

The integral of 3x^2-24x+36 is x^3-12x^2+36x+C

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integral of 3x^2-24x+36

\int 3 x^{2} - 24 x + 36 d x

x^{3} - 12 x^{2} + 36 x + C

Solution steps

\int 3 x^{2} - 24 x + 36 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 3 x^{2} d x - \int 24 x d x + \int 36 d x

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

\int 24 x d x = 12 x^{2}

\int 36 d x = 36 x

= x^{3} - 12 x^{2} + 36 x

Add a constant to the solution

= x^{3} - 12 x^{2} + 36 x + C

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What is the integral of 3x^2-24x+36 ?
The integral of 3x^2-24x+36 is x^3-12x^2+36x+C