What is the integral of (-2)/x ?

The integral of (-2)/x is -2ln|x|+C

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integral of (-2)/x

\int \frac{- 2}{x} d x

- 2 ln ∣ x ∣ + C

Solution steps

\int \frac{- 2}{x} d x

Take the constant out:

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

= - 2 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= - 2 ln ∣ x ∣

Add a constant to the solution

= - 2 ln ∣ x ∣ + C

\frac{15 + 5 5}{12} a^{3}

(1 + x^{2}) y^{^{''}} = 2 x (y^{^{'}})^{2}

y^{^{'}} + \frac{1.93}{293 + t} \cdot y = 2.7249

\frac{\partial}{\partial x} (\frac{7 x - 5 y}{7 x + 5 y})

\frac{( s + 1 )}{6 s ^{2} + 7 s + 2}