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Popular Calculus >

integral of (2xy+2y)

Solution

\int (2 x y + 2 y) d x

Solution

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

Solution steps

\int 2 x y + 2 y d x

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 y d x + \int 2 y x d x

\int 2 y d x = 2 y x

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

= 2 y x + y x^{2}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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