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Popular >

integral of (9x^2+6x)

Solution

\int (9 x^{2} + 6 x) d x

Solution

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

Solution steps

\int 9 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 9 x^{2} d x + \int 6 x d x

\int 9 x^{2} d x = 3 x^{3}

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

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

Add a constant to the solution

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

Popular Examples

derivative of y=\sqrt[3]{t}+2sqrt(t^3)derivative of

integral from 0 to 3 of 1/((x-1)^2)

\int_{0}^{3} \frac{1}{( x - 1 ) ^{2}} d x

area y=6x-x^2,y=2x area

y = 6 x - x^{2}, y = 2 x

limit as x approaches 0 of 1/x ln(1-6x)

x \to 0 lim (\frac{1}{x} ln (1 - 6 x))

(dy)/(dx)=2.5-(5y)/(2x+100)

\frac{d y}{d x} = 2.5 - \frac{5 y}{2 x + 100}

Frequently Asked Questions (FAQ)

What is the integral of (9x^2+6x) ?
The integral of (9x^2+6x) is 3x^3+3x^2+C