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Popular Calculus >

integral of 2xy^2+2y

Solution

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

Solution

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

Solution steps

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

\int 2 y d x = 2 y x

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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