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Popular Calculus >

integral of 3x^2+3x

Solution

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

Solution

x^{3} + \frac{3 x ^{2}}{2} + C

Solution steps

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

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

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

= x^{3} + \frac{3 x ^{2}}{2}

Add a constant to the solution

= x^{3} + \frac{3 x ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

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