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Popular Calculus >

integral of 1-x-y

Solution

\int 1 - x - y d y

Solution

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

Solution steps

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

\int 1 d y = y

\int x d y = x y

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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