en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x(12x+4)

Solution

\int x (12 x + 4) d x

Solution

4 x^{3} + 2 x^{2} + C

Solution steps

\int x (12 x + 4) d x

Expand

x (12 x + 4) : 12 x^{2} + 4 x

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

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

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

= 4 x^{3} + 2 x^{2}

Add a constant to the solution

= 4 x^{3} + 2 x^{2} + C

Popular Examples

limit as x approaches 2 of ln|2-x|

x \to 2 lim (ln ∣ 2 - x ∣)

tangent of f(x)=-x^3+9x^2-6x+9,\at x=7 tangent of

f (x) = - x^{3} + 9 x^{2} - 6 x + 9, at x = 7

limit as x approaches-infinity of x/c

x \to - \infty lim (\frac{x}{c})

integral of 2(2x+8)^5

\int 2 (2 x + 8)^{5} d x

(\partial)/(\partial x)((x+2)^2(y+3))

\frac{\partial}{\partial x} ((x + 2)^{2} (y + 3))

Frequently Asked Questions (FAQ)

What is the integral of x(12x+4) ?
The integral of x(12x+4) is 4x^3+2x^2+C