What is the integral of #ln(3x)#? Calculus Introduction to Integration Integrals of Exponential Functions 1 Answer Anees Apr 13, 2015 #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# Answer link Related questions How do you evaluate the integral #inte^(4x) dx#? How do you evaluate the integral #inte^(-x) dx#? How do you evaluate the integral #int3^(x) dx#? How do you evaluate the integral #int3e^(x)-5e^(2x) dx#? How do you evaluate the integral #int10^(-x) dx#? What is the integral of #e^(x^3)#? What is the integral of #e^(0.5x)#? What is the integral of #e^(2x)#? What is the integral of #e^(7x)#? What is the integral of #2e^(2x)#? See all questions in Integrals of Exponential Functions Impact of this question 30568 views around the world You can reuse this answer Creative Commons License