What is the integral of y/(y^2) ?

The integral of y/(y^2) is ln|y|+C

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integral of y/(y^2)

\int \frac{y}{y ^{2}} d y

ln ∣ y ∣ + C

Solution steps

\int \frac{y}{y ^{2}} d y

Cancel the common factor:

y

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

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= ln ∣ y ∣

Add a constant to the solution

= ln ∣ y ∣ + C