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Popular Calculus >

integral of (3x^2+6)

Solution

\int (3 x^{2} + 6) d x

Solution

x^{3} + 6 x + C

Solution steps

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

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

\int 6 d x = 6 x

= x^{3} + 6 x

Add a constant to the solution

= x^{3} + 6 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (3x^2+6) ?
The integral of (3x^2+6) is x^3+6x+C