en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 2+3x

Solution

\int 2 + 3 x d x

Solution

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

Solution steps

\int 2 + 3 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 2 d x + \int 3 x d x

\int 2 d x = 2 x

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 2x^2+3x

integral of 9^{32+1}6

integral of 5/((1-x)^2)

integral of (x^6+x+1+x^{-1}+x^{-2})

integral of (sqrt(3x+4))

Frequently Asked Questions (FAQ)

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