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Popular >

integral of (3y)/x

Solution

\int \frac{3 y}{x}

Solution

\frac{3}{x} \cdot \frac{y ^{2}}{2} + C

Solution steps

\int \frac{3 y}{x} d y

Take the constant out:

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

= \frac{3}{x} \cdot \int y d y

Apply the Power Rule

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

= \frac{3}{x} \cdot \frac{y ^{2}}{2}

Add a constant to the solution

= \frac{3}{x} \cdot \frac{y ^{2}}{2} + C

Popular Examples

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f (x) = \frac{1}{4 x ^{2} + 2 x}

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(\partial)/(\partial x)((x+1)^2+y^2-1)

\frac{\partial}{\partial x} ((x + 1)^{2} + y^{2} - 1)

limit as x approaches 2 of (x^2+2x-8)/(3x-6)

x \to 2 lim (\frac{x ^{2} + 2 x - 8}{3 x - 6})

Frequently Asked Questions (FAQ)

What is the integral of (3y)/x ?
The integral of (3y)/x is 3/x*(y^2)/2+C