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Popular >

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

Popular Examples

integral of (sec(x/(14)))^2tan(x/(14))

\int (sec (\frac{x}{14}))^{2} tan (\frac{x}{14}) d x

integral of 3x^2-4-6e^{2x}

\int 3 x^{2} - 4 - 6 e^{2 x} d x

integral of x^{1/3}(2x+3)

\int x^{\frac{1}{3}} (2 x + 3) d x

integral of 4/(sqrt(x+1))

\int \frac{4}{x + 1} d x

integral of 1/(e^{3x)+1}

\int \frac{1}{e ^{3 x} + 1} d x

Frequently Asked Questions (FAQ)

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