What is the integral of y/z ?

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

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integral of y/z

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

y ln ∣ z ∣ + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

\int \frac{1}{z} d z = ln (∣ z ∣)

= y ln ∣ z ∣

Add a constant to the solution

= y ln ∣ z ∣ + C

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