What is the integral of k/x ?

The integral of k/x is kln|x|+C

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integral of k/x

\int \frac{k}{x} d x

k ln ∣ x ∣ + C

Solution steps

\int \frac{k}{x} d x

Take the constant out:

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

= k \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= k ln ∣ x ∣

Add a constant to the solution

= k ln ∣ x ∣ + C

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