What is the integral of-3/x ?

The integral of-3/x is -3ln|x|+C

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integral of-3/x

\int - \frac{3}{x} d x

- 3 ln ∣ x ∣ + C

Solution steps

\int - \frac{3}{x} d x

Take the constant out:

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

= - 3 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= - 3 ln ∣ x ∣

Add a constant to the solution

= - 3 ln ∣ x ∣ + C

(x + 3)^{2}

\frac{d}{d y} (\frac{x}{( x ^{2} + y ^{2} )})

n = 1 \sum \infty \frac{( - 1 ) ^{n - 1} n ^{2}}{1 2 ^{n}}

\frac{s + 3}{( s + 3 ) ^{2} + 9}

\frac{d}{d x} (x ln (- x))