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-2y)

Solution

\int (x - 2 y) d y

Solution

x y - y^{2} + C

Solution steps

\int x - 2 y d y

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 y - \int 2 y d y

\int x d y = x y

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

= x y - y^{2}

Add a constant to the solution

= x y - y^{2} + C

Graph

Popular Examples

tangent of (18)/x

t an g e n t \frac{18}{x}

integral of t^{-4}

\int t^{- 4} d t

derivative of (x^2+x-2/(x^3+6))

\frac{d}{d x} (\frac{x ^{2} + x - 2}{x ^{3} + 6})

solvefor y,ln(xy9)=xy

so l v e f or y, ln (x y 9) = x y

area y= 1/2 x^3+2,y=x+1,x=0,x=2

a re a y = \frac{1}{2} x^{3} + 2, y = x + 1, x = 0, x = 2

Frequently Asked Questions (FAQ)

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