en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x+2x

Solution

\int x + 2 x d x

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of x^{11}ln(4x^6)

integral of (5x+12)/(x^2+4x+5)

integral of 7xe^{6x^2}

integral of (6+2x)

integral of 6xcos(3)x^2

Frequently Asked Questions (FAQ)

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