What is the integral of 6+6x+36x^2 ?

The integral of 6+6x+36x^2 is 6x+3x^2+12x^3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 6+6x+36x^2

\int 6 + 6 x + 36 x^{2} d x

6 x + 3 x^{2} + 12 x^{3} + C

Solution steps

\int 6 + 6 x + 36 x^{2} 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 6 d x + \int 6 x d x + \int 36 x^{2} d x

\int 6 d x = 6 x

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

\int 36 x^{2} d x = 12 x^{3}

= 6 x + 3 x^{2} + 12 x^{3}

Add a constant to the solution

= 6 x + 3 x^{2} + 12 x^{3} + C

What is the integral of 6+6x+36x^2 ?
The integral of 6+6x+36x^2 is 6x+3x^2+12x^3+C