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Popular Calculus >

integral of x^2+2yz

Solution

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

Solution

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

Solution steps

\int x^{2} + 2 yz 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^{2} d y + \int 2 zy d y

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

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

= x^{2} y + z y^{2}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^2+2yz ?
The integral of x^2+2yz is x^2y+zy^2+C