What is the integral of c/r ?

The integral of c/r is cln|r|+C

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integral of c/r

\int \frac{c}{r} d r

c ln ∣ r ∣ + C

Solution steps

\int \frac{c}{r} d r

Take the constant out:

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

= c \cdot \int \frac{1}{r} d r

Use the common integral:

\int \frac{1}{r} d r = ln (∣ r ∣)

= c ln ∣ r ∣

Add a constant to the solution

= c ln ∣ r ∣ + C

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