What is the integral of-75x^2+600x+C ?

The integral of-75x^2+600x+C is -25x^3+300x^2+Cx+C

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integral of-75x^2+600x+C

\int - 75 x^{2} + 600 x + C d x

- 25 x^{3} + 300 x^{2} + C x + C

Solution steps

\int - 75 x^{2} + 600 x + C 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 75 x^{2} d x + \int 600 x d x + \int C d x

\int 75 x^{2} d x = 25 x^{3}

\int 600 x d x = 300 x^{2}

\int C d x = C x

= - 25 x^{3} + 300 x^{2} + C x

Add a constant to the solution

= - 25 x^{3} + 300 x^{2} + C x + C

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

(x^{2} + y) d x + (x + e^{y}) d y = 0

d er i v a t i v e 2 t e^{- t}

s l o p e (1, - 4), (4, - 5)

\int cos (π)

What is the integral of-75x^2+600x+C ?
The integral of-75x^2+600x+C is -25x^3+300x^2+Cx+C