What is the integral of 6x^2-6x-72 ?

The integral of 6x^2-6x-72 is 2x^3-3x^2-72x+C

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integral of 6x^2-6x-72

\int 6 x^{2} - 6 x - 72 d x

2 x^{3} - 3 x^{2} - 72 x + C

Solution steps

\int 6 x^{2} - 6 x - 72 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 6 x d x - \int 72 d x

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

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

\int 72 d x = 72 x

= 2 x^{3} - 3 x^{2} - 72 x

Add a constant to the solution

= 2 x^{3} - 3 x^{2} - 72 x + C

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What is the integral of 6x^2-6x-72 ?
The integral of 6x^2-6x-72 is 2x^3-3x^2-72x+C