What is the integral of (13)/x ?

The integral of (13)/x is 13ln|x|+C

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integral of (13)/x

\int \frac{13}{x} d x

13 ln ∣ x ∣ + C

Solution steps

\int \frac{13}{x} d x

Take the constant out:

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

= 13 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 13 ln ∣ x ∣

Add a constant to the solution

= 13 ln ∣ x ∣ + C

\frac{\partial}{\partial x} (- 2 x y z^{- 1})

x \to - 5 lim (\frac{x}{x + 4})

n = 0 \sum \infty n \cdot sin (nπ)

x \to 6 lim (\frac{∣ x - 6 ∣}{x - 6})

\int_{0}^{1} 6 (1 + x)^{7} d x