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

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Answer 1 · 2015-04-13T19:20:21

#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#