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Popular >

integral of yze^y+2y

Solution

\int yz e^{y} + 2 y d y

Solution

y^{2} + z (e^{y} y - e^{y}) + C

Solution steps

\int yz e^{y} + 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 2 y d y + \int z e^{y} y d y

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

\int z e^{y} y d y = z (e^{y} y - e^{y})

= y^{2} + z (e^{y} y - e^{y})

Add a constant to the solution

= y^{2} + z (e^{y} y - e^{y}) + C

Graph

Popular Examples

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x \to 0 lim (\frac{1 - cos ( 3 x )}{x})

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\frac{d y}{d x}, 9 e^{x y} + 4 x^{2} - 2 y^{2} = 36

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ln (\frac{4 x + 1}{x ^{2} - 2})

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\int \frac{2 - sin ( x )}{2 + cos ( x )} d x

derivative of cos(3x)derivative of

cos (3 x)

Frequently Asked Questions (FAQ)

What is the integral of yze^y+2y ?
The integral of yze^y+2y is y^2+z(e^yy-e^y)+C