What is the antiderivative of 7/x?

Feb 29, 2016

$\setminus \int \setminus \frac{7}{x} \mathrm{dx}$ = $7 \ln | x | + C$

Explanation:

$\setminus \int \setminus \frac{7}{x} \mathrm{dx}$

Taking the constant out as: $\setminus \int a \setminus \cdot f \left(x\right) \mathrm{dx} = a \setminus \cdot \setminus \int f \left(x\right) \mathrm{dx}$

$= 7 \setminus \int \setminus \frac{1}{x} \mathrm{dx}$

Using the common integral as: $\setminus \int \setminus \frac{1}{x} \mathrm{dx} = \setminus \ln \left(| x |\right)$

$= 7 \setminus \ln | x |$

$= 7 \setminus \ln | x | + C$