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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

Graph

Popular Examples

integral of 1/(2x^2+8x+9)

\int \frac{1}{2 x ^{2} + 8 x + 9} d x

integral of (-1)/x integral

\frac{- 1}{x}

integral of ((x-1)/(x+1))

\int (\frac{x - 1}{x + 1}) d x

integral of ((e^x+1))/((e^x-1))

\int \frac{( e ^{x} + 1 )}{( e ^{x} - 1 )} d x

integral of (sqrt(2))/(sqrt(x))

\int \frac{2}{x} d x

Frequently Asked Questions (FAQ)

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