en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 4x^3+2

Solution

\int 4 x^{3} + 2 d x

Solution

x^{4} + 2 x + C

Solution steps

\int 4 x^{3} + 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 4 x^{3} d x + \int 2 d x

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

\int 2 d x = 2 x

= x^{4} + 2 x

Add a constant to the solution

= x^{4} + 2 x + C

Graph

Popular Examples

integral of (-5arctan(x))/(2+2x^2)

integral of 3/(4+9x^2)

integral of ((2x^2-6x+4))/((x-3))

integral of 1/(2x(3-x))

integral of (1-x)/(sqrt(x^2-2x+2))

Frequently Asked Questions (FAQ)

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