What is the integral of 1/(12x) ?

The integral of 1/(12x) is 1/12 ln|x|+C

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integral of 1/(12x)

\int \frac{1}{12 x} d x

\frac{1}{12} ln ∣ x ∣ + C

Solution steps

\int \frac{1}{12 x} d x

Take the constant out:

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

= \frac{1}{12} \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= \frac{1}{12} ln ∣ x ∣

Add a constant to the solution

= \frac{1}{12} ln ∣ x ∣ + C

\frac{d}{d x} (lo g_{5} (x^{2} - 7 x))

v^{'} = - 0.01 v^{2}

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (1 t)

x \to 5 lim (- 2)

\frac{6}{( s - 2 ) ^{4}}