en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 4-x-y

Solution

\int 4 - x - y d y

Solution

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

Solution steps

\int 4 - x - 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 4 d y - \int x d y - \int y d y

\int 4 d y = 4 y

\int x d y = x y

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

= 4 y - x y - \frac{y ^{2}}{2}

Add a constant to the solution

= 4 y - x y - \frac{y ^{2}}{2} + C

Graph

Popular Examples

integral of 1/(e^{2x+1)}

integral of cos(xy^2)

integral of ln(x+1)-ln(x)

integral of (2+sin(x))/(sqrt(x))

integral of e^{(-x)/(100)}

Frequently Asked Questions (FAQ)

What is the integral of 4-x-y ?
The integral of 4-x-y is 4y-xy-(y^2)/2+C