What is the integral of 200-20x-3x^2 ?

The integral of 200-20x-3x^2 is 200x-10x^2-x^3+C

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integral of 200-20x-3x^2

\int 200 - 20 x - 3 x^{2} d x

200 x - 10 x^{2} - x^{3} + C

Solution steps

\int 200 - 20 x - 3 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 200 d x - \int 20 x d x - \int 3 x^{2} d x

\int 200 d x = 200 x

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

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

= 200 x - 10 x^{2} - x^{3}

Add a constant to the solution

= 200 x - 10 x^{2} - x^{3} + C

What is the integral of 200-20x-3x^2 ?
The integral of 200-20x-3x^2 is 200x-10x^2-x^3+C