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Popular Calculus >

integral of 12x^3-4x

Solution

\int 12 x^{3} - 4 x d x

Solution

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

Solution steps

\int 12 x^{3} - 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^{3} d x - \int 4 x d x

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

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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