Question

What is the integral of `ln(3x)`?

Answer 1

`xln(3x)-x+C`

Detailed Solution

`intln(3x)dx`

`=int1.ln(3x)dx`

Integrating by parts

`=ln(3x).(x)-int1/(3x).(3).(x)dx`

`=xln(3x)-intcancel(3x)/cancel(3x)dx`

`=xln(3x)-intdx`

`=xln(3x)-x+C`