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Popular Calculus >

integral of (x+6y)

Solution

\int (x + 6 y) d y

Solution

x y + 3 y^{2} + C

Solution steps

\int x + 6 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 6 y d y

\int x d y = x y

\int 6 y d y = 3 y^{2}

= x y + 3 y^{2}

Add a constant to the solution

= x y + 3 y^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (x+6y) ?
The integral of (x+6y) is xy+3y^2+C