en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1-y)

Solution

\int (1 - y) d y

Solution

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

Solution steps

\int 1 - 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 1 d y - \int y d y

\int 1 d y = y

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

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

Add a constant to the solution

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

Popular Examples

(dy)/(dt)+0.3ty=5t,y(0)=6

\frac{d y}{d t} + 0.3 t y = 5 t, y (0) = 6

limit as x approaches 3+of 8/(x-3)

x \to 3 + lim (\frac{8}{x - 3})

derivative of 2sin(x-cos(x))

\frac{d}{d x} (2 sin (x) - cos (x))

(e^{-3y})y^'=e^{8x},y(0)=12

(e^{- 3 y}) y^{^{'}} = e^{8 x}, y (0) = 12

(\partial)/(\partial x)(yze^{xz}-2)

\frac{\partial}{\partial x} (yz e^{x z} - 2)

Frequently Asked Questions (FAQ)

What is the integral of (1-y) ?
The integral of (1-y) is y-(y^2)/2+C