en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x+6

Solution

\int 3 x + 6 d x

Solution

\frac{3 x ^{2}}{2} + 6 x + C

Solution steps

\int 3 x + 6 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 3 x d x + \int 6 d x

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

\int 6 d x = 6 x

= \frac{3 x ^{2}}{2} + 6 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + 6 x + C

Graph

Popular Examples

integral of y^2(4-y^3)^{2/3}

\int y^{2} (4 - y^{3})^{\frac{2}{3}} d y

(\partial)/(\partial x)(x^2 y/(x^4+y^2))

\frac{\partial}{\partial x} (x^{2} \frac{y}{x ^{4} + y ^{2}})

area x^4+x^3,x^4+x^2+6x area

x^{4} + x^{3}, x^{4} + x^{2} + 6 x

y^{''}-3y^'+2y=0,y(0)=0,y^'(0)=0

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 0

taylor cos(x), pi/3 taylor

cos (x), \frac{π}{3}

Frequently Asked Questions (FAQ)

What is the integral of 3x+6 ?
The integral of 3x+6 is (3x^2)/2+6x+C