What is the integral of z/y ?

The integral of z/y is zln|y|+C

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integral of z/y

\int \frac{z}{y} d y

z ln ∣ y ∣ + C

Solution steps

\int \frac{z}{y} d y

Take the constant out:

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

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

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= z ln ∣ y ∣

Add a constant to the solution

= z ln ∣ y ∣ + C

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