What is the integral of-10000x^2+120000x+C ?

The integral of-10000x^2+120000x+C is -(10000x^3)/3+60000x^2+Cx+C

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integral of-10000x^2+120000x+C

\int - 10000 x^{2} + 120000 x + C d x

- \frac{10000 x ^{3}}{3} + 60000 x^{2} + C x + C

Solution steps

\int - 10000 x^{2} + 120000 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 10000 x^{2} d x + \int 120000 x d x + \int C d x

\int 10000 x^{2} d x = \frac{10000 x ^{3}}{3}

\int 120000 x d x = 60000 x^{2}

\int C d x = C x

= - \frac{10000 x ^{3}}{3} + 60000 x^{2} + C x

Add a constant to the solution

= - \frac{10000 x ^{3}}{3} + 60000 x^{2} + C x + C

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What is the integral of-10000x^2+120000x+C ?
The integral of-10000x^2+120000x+C is -(10000x^3)/3+60000x^2+Cx+C