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{d y}{d x} + y cos (x) = 2 cos (x)

\frac{\partial}{\partial x} (y e^{y x})

\int \frac{15}{5 x + x x} d x

x \to 0 + lim (\frac{x + 3}{x ^{2}})

ln (\frac{5 x ^{2} + x + 6}{x ^{3}})