What is the integral of ({y})/(L{y\)} ?

The integral of ({y})/(L{y\)} is ln|L|+C

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integral of ({y})/(L{y\)}

\int \frac{{ y }}{L { y }} d L

ln ∣ L ∣ + C

Solution steps

\int \frac{{ y }}{L { y }} d L

Simplify

\frac{{ y }}{{ y } L} : \frac{1}{L}

= \int \frac{1}{L} d L

Use the common integral:

\int \frac{1}{L} d L = ln (∣ L ∣)

= ln ∣ L ∣

Add a constant to the solution

= ln ∣ L ∣ + C

What is the integral of ({y})/(L{y\)} ?
The integral of ({y})/(L{y\)} is ln|L|+C