en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 2xy+2x

Solution

\int 2 x y + 2 x d x

Solution

x^{2} + y x^{2} + C

Solution steps

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

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

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

= x^{2} + y x^{2}

Add a constant to the solution

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

Graph

Popular Examples

limit as x approaches 3 of (x^2+x)/(x+3)

integral of (13)/(x^2-1)

limit as x approaches 0 of xe^{-x}

integral of (9-x^2)/(5x^3+x)

Frequently Asked Questions (FAQ)

What is the integral of 2xy+2x ?
The integral of 2xy+2x is x^2+yx^2+C