en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 6x^2+4x

Solution

\int 6 x^{2} + 4 x d x

Solution

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

Solution steps

\int 6 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 6 x^{2} d x + \int 4 x d x

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

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

integral of (15^x+30^x)/(5^x)

integral of (x^3+x+5)/(x^2+2x+2)

integral of (sin(x))^4(cos(x))^4

integral of 1/(xsqrt(49x^2-36))

Frequently Asked Questions (FAQ)

What is the integral of 6x^2+4x ?
The integral of 6x^2+4x is 2x^3+2x^2+C