What is the integral of 12x^2-48x+36 ?

The integral of 12x^2-48x+36 is 4x^3-24x^2+36x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 12x^2-48x+36

\int 12 x^{2} - 48 x + 36 d x

4 x^{3} - 24 x^{2} + 36 x + C

Solution steps

\int 12 x^{2} - 48 x + 36 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 12 x^{2} d x - \int 48 x d x + \int 36 d x

\int 12 x^{2} d x = 4 x^{3}

\int 48 x d x = 24 x^{2}

\int 36 d x = 36 x

= 4 x^{3} - 24 x^{2} + 36 x

Add a constant to the solution

= 4 x^{3} - 24 x^{2} + 36 x + C

x \to 3 lim (\frac{3 x ^{2} - 4 x - 15}{x ^{2} - 5 x + 6})

x^{2} + 2 x + 1, 3 x + 3

\frac{d}{d x} (\frac{c}{x ^{2}})

\frac{\partial}{\partial x} (3 y + 7)

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

What is the integral of 12x^2-48x+36 ?
The integral of 12x^2-48x+36 is 4x^3-24x^2+36x+C