What is the integral of 300+20x-12x^2 ?

The integral of 300+20x-12x^2 is 300x+10x^2-4x^3+C

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integral of 300+20x-12x^2

\int 300 + 20 x - 12 x^{2} d x

300 x + 10 x^{2} - 4 x^{3} + C

Solution steps

\int 300 + 20 x - 12 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 300 d x + \int 20 x d x - \int 12 x^{2} d x

\int 300 d x = 300 x

\int 20 x d x = 10 x^{2}

\int 12 x^{2} d x = 4 x^{3}

= 300 x + 10 x^{2} - 4 x^{3}

Add a constant to the solution

= 300 x + 10 x^{2} - 4 x^{3} + C

What is the integral of 300+20x-12x^2 ?
The integral of 300+20x-12x^2 is 300x+10x^2-4x^3+C