Determine whether the statement is true or false, and explain why.
integration by parts should be used to evaluate ∫ln(4x) dx.

True

Step-by-step explanation:

The  problem  ∫ln(4x) dx can be solved with integration by parts.

∫ udvdx  = uv − ∫ vdu dx        equ1

where u=ln4x, dv=1dx

       du/dx  = 1/4x      v=x

subtituting those values into the equ 1,we have

 ∫ln(4x) dx = ln4x *x - ∫x*(1/4x)dx

                  = xln4x - ∫(1/4)dx

                  =xln4x- x/4  +C

ab: 2 n83b8eb7ebi. 8e yen in