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Popular Calculus >

integral of 6x+12x^2

Solution

\int 6 x + 12 x^{2} d x

Solution

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

Solution steps

\int 6 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 6 x d x + \int 12 x^{2} d x

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

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 6x+12x^2 ?
The integral of 6x+12x^2 is 3x^2+4x^3+C