en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4x+12

Solution

\int 4 x + 12 d x

Solution

2 x^{2} + 12 x + C

Solution steps

\int 4 x + 12 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 d x + \int 12 d x

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

\int 12 d x = 12 x

= 2 x^{2} + 12 x

Add a constant to the solution

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

Popular Examples

integral of (cosh(x)+x^7)

\int (cosh (x) + x^{7}) d x

integral of sqrt(x)(x-sqrt(x)+1)

\int x (x - x + 1) d x

integral of (xsqrt(x)-1-x-sqrt(x))/(x-1)

\int \frac{x x - 1 - x - x}{x - 1} d x

integral of 1/((x5+1))

\int \frac{1}{( x 5 + 1 )} d x

integral of (-2xy)

\int (- 2 x y) d y

Frequently Asked Questions (FAQ)

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