Question

Whats the integral of 1/X

Answer 1

$F(x) = \int\limits \frac{1}{x} dx =\int\limits x^-^1 dx \\ f(x) = \int\limits x^-^1dx = \frac{1}{0} X^0$

$= f(x) = \int\limits X^-^1dx = In|x|$

Answer 2

$\left(\ln(|x|)\right)'=\frac{1}x$ hence $\int\frac{1}xdx=\ln |x|$