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Popular >

integral of (2xy+3y)

Solution

\int (2 x y + 3 y) d x

Solution

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

Solution steps

\int 2 x y + 3 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 3 y d x + \int 2 y x d x

\int 3 y d x = 3 y x

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

= 3 y x + y x^{2}

Add a constant to the solution

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

Popular Examples

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\int \frac{x ^{2}}{x + 9} d x

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integral of x*sin(6x)

\int x \cdot sin (6 x) d x

Frequently Asked Questions (FAQ)

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