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Popular >

integral of 2yz

Solution

\int 2 yz d y

Solution

z y^{2} + C

Solution steps

\int 2 yz d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 z \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= 2 z \frac{y ^{2}}{2}

Simplify

2 z \frac{y ^{2}}{2} : z y^{2}

= z y^{2}

Add a constant to the solution

= z y^{2} + C

Popular Examples

limit as x approaches 0 of ((2+x)^2-8)/x

x \to 0 lim (\frac{( 2 + x ) ^{2} - 8}{x})

tangent of y=x+4/x ,(-4,-5)tangent of

y = x + \frac{4}{x}, (- 4, - 5)

(\partial)/(\partial x)(4x^3y^3)

\frac{\partial}{\partial x} (4 x^{3} y^{3})

integral of (1+1/x)^3*(1/(x^2))

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

derivative of x^{5^x}

\frac{d}{d x} (x^{5^{x}})

Frequently Asked Questions (FAQ)

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