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Popular >

integral of 3x^2+6x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

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\frac{d}{d x} (100 e^{- 2 x})

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\frac{d}{d x} (\frac{x ^{3}}{2 - x})

(dy)/(dx)=0.276y-0.0012y^2

\frac{d y}{d x} = 0.276 y - 0.0012 y^{2}

integral of x/(x^8-1)

\int \frac{x}{x ^{8} - 1} d x

derivative of f(x)=ln(x^2+2)derivative of

f (x) = ln (x^{2} + 2)

Frequently Asked Questions (FAQ)

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