What is the integral of-2+24x-12x^2 ?

The integral of-2+24x-12x^2 is -2x+12x^2-4x^3+C

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integral of-2+24x-12x^2

\int - 2 + 24 x - 12 x^{2} d x

- 2 x + 12 x^{2} - 4 x^{3} + C

Solution steps

\int - 2 + 24 x - 12 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 2 d x + \int 24 x d x - \int 12 x^{2} d x

\int 2 d x = 2 x

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

\int 12 x^{2} d x = 4 x^{3}

= - 2 x + 12 x^{2} - 4 x^{3}

Add a constant to the solution

= - 2 x + 12 x^{2} - 4 x^{3} + C

x x^{2} - 1

x \to 4 - lim (\frac{3 x}{x - 4})

\int 2 x (x^{2} + 7)^{5} d x

(0, 5), (3, - 5)

\int \frac{1}{x ( 1 - x ) ^{2}} d x

What is the integral of-2+24x-12x^2 ?
The integral of-2+24x-12x^2 is -2x+12x^2-4x^3+C