What is the integral of 9x^2-30x+15 ?

The integral of 9x^2-30x+15 is 3x^3-15x^2+15x+C

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integral of 9x^2-30x+15

\int 9 x^{2} - 30 x + 15 d x

3 x^{3} - 15 x^{2} + 15 x + C

Solution steps

\int 9 x^{2} - 30 x + 15 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 30 x d x + \int 15 d x

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

\int 30 x d x = 15 x^{2}

\int 15 d x = 15 x

= 3 x^{3} - 15 x^{2} + 15 x

Add a constant to the solution

= 3 x^{3} - 15 x^{2} + 15 x + C

\frac{\partial}{\partial x} (x \cdot sin (y - z))

\frac{d}{d t} (\frac{3 t}{5})

\frac{\partial}{\partial x} (6 - (x^{2} + y^{2})^{\frac{1}{5}})

\frac{\partial}{\partial y} (x \cdot e^{x y + 1})

y = x^{- 1}

What is the integral of 9x^2-30x+15 ?
The integral of 9x^2-30x+15 is 3x^3-15x^2+15x+C