What is the integral of ((-4)/x) ?

The integral of ((-4)/x) is -4ln|x|+C

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integral of ((-4)/x)

\int (\frac{- 4}{x}) d x

- 4 ln ∣ x ∣ + C

Solution steps

\int \frac{- 4}{x} d x

Take the constant out:

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

= - 4 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= - 4 ln ∣ x ∣

Add a constant to the solution

= - 4 ln ∣ x ∣ + C

\int \frac{1}{n} sin (n x) d x

\frac{104}{s ^{2} + 8 s + 52}

\frac{d}{d x} (\frac{x ^{3} - 7}{x ^{2} + 2})

\frac{d ^{3}}{d x ^{3}} (\frac{1}{1 - x})