What is the integral of 200+2x-0.003x^2 ?

The integral of 200+2x-0.003x^2 is 200x+x^2-0.001x^3+C

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integral of 200+2x-0.003x^2

\int 200 + 2 x - 0.003 x^{2} d x

200 x + x^{2} - 0.001 x^{3} + C

Solution steps

\int 200 + 2 x - 0.003 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 2 x d x - \int 0.003 x^{2} d x

\int 200 d x = 200 x

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

\int 0.003 x^{2} d x = 0.001 x^{3}

= 200 x + x^{2} - 0.001 x^{3}

Add a constant to the solution

= 200 x + x^{2} - 0.001 x^{3} + C

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What is the integral of 200+2x-0.003x^2 ?
The integral of 200+2x-0.003x^2 is 200x+x^2-0.001x^3+C