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Popular Calculus >

integral of (2x-2y)

Solution

\int (2 x - 2 y) d y

Solution

2 x y - y^{2} + C

Solution steps

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

\int 2 x d y = 2 x y

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

= 2 x y - y^{2}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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