en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x-2y+2

Solution

\int x - 2 y + 2

Solution

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

Solution steps

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

\int 2 d x = 2 x

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

\int 2 y d x = 2 y x

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

Add a constant to the solution

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

Graph

Popular Examples

limit as x approaches infinity of-2+x

x \to \infty lim (- 2 + x)

(\partial)/(\partial x)((6x-9y)/(6x+9y))

\frac{\partial}{\partial x} (\frac{6 x - 9 y}{6 x + 9 y})

y^'=-0.000631594*sqrt(y),y(0)=30

y^{^{'}} = - 0.000631594 \cdot y, y (0) = 30

sum from n=1 to infinity of n/(n^2+25)

n = 1 \sum \infty \frac{n}{n ^{2} + 25}

(\partial)/(\partial y)(x^3+x^2y^2+y^3)

\frac{\partial}{\partial y} (x^{3} + x^{2} y^{2} + y^{3})

Frequently Asked Questions (FAQ)

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