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Popular Calculus >

integral of-6x^2+24x

Solution

\int - 6 x^{2} + 24 x d x

Solution

- 2 x^{3} + 12 x^{2} + C

Solution steps

\int - 6 x^{2} + 24 x 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 6 x^{2} d x + \int 24 x d x

\int 6 x^{2} d x = 2 x^{3}

\int 24 x d x = 12 x^{2}

= - 2 x^{3} + 12 x^{2}

Add a constant to the solution

= - 2 x^{3} + 12 x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-6x^2+24x ?
The integral of-6x^2+24x is -2x^3+12x^2+C