What is the integral of 3x^2-18x+27 ?

The integral of 3x^2-18x+27 is x^3-9x^2+27x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^2-18x+27

\int 3 x^{2} - 18 x + 27 d x

x^{3} - 9 x^{2} + 27 x + C

Solution steps

\int 3 x^{2} - 18 x + 27 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 18 x d x + \int 27 d x

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

\int 18 x d x = 9 x^{2}

\int 27 d x = 27 x

= x^{3} - 9 x^{2} + 27 x

Add a constant to the solution

= x^{3} - 9 x^{2} + 27 x + C

\frac{d}{d x} (\frac{1}{x ^{7}})

\frac{4 s}{s ^{2} + 8 s + 20}

\frac{d}{d x} ((3 x^{2} - 6 x - sin (x))^{4})

\int_{x}^{2} 1 d x

\int sin (\frac{2}{x}) d x

What is the integral of 3x^2-18x+27 ?
The integral of 3x^2-18x+27 is x^3-9x^2+27x+C