en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 12x^3-4x

Solution

\int 12 x^{3} - 4 x d x

Solution

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

Solution steps

\int 12 x^{3} - 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^{3} d x - \int 4 x d x

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of (1+sqrt(t))(2t^2-5)derivative of

(1 + t) (2 t^{2} - 5)

derivative of f(x)=((4x^2)/(2-x))^3 derivative of

f (x) = (\frac{4 x ^{2}}{2 - x})^{3}

slope of (11-3)/(p-1)slope

\frac{11 - 3}{p - 1}

(\partial)/(\partial x)(y^{x/z})

\frac{\partial}{\partial x} (y^{\frac{x}{z}})

derivative of f(x)=(2x-sqrt(x))(5x+2)derivative of

f (x) = (2 x - x) (5 x + 2)

Frequently Asked Questions (FAQ)

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