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Popular Calculus >

integral of (x+2y)

Solution

\int (x + 2 y) d y

Solution

x y + y^{2} + C

Solution steps

\int 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 x d y + \int 2 y d y

\int x d y = x y

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

= x y + y^{2}

Add a constant to the solution

= x y + y^{2} + C

Graph

Popular Examples

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inverse oflaplace ((2))/((s-1)^2)

Frequently Asked Questions (FAQ)

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