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Popular Calculus >

integral of x/y)

Solution

\int d (\frac{x}{y})

Solution

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

Solution steps

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

Take the constant out:

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

= \frac{1}{y} d \cdot \int x d x

Simplify

\frac{1}{y} d : \frac{d}{y}

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

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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