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Popular >

integral of 12x^2-4x

Solution

\int 12 x^{2} - 4 x d x

Solution

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

Solution steps

\int 12 x^{2} - 4 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 12 x^{2} d x - \int 4 x d x

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

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\int 2 arctan (x + 2) d x

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

Frequently Asked Questions (FAQ)

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