How do you evaluate the integral of ##(ln x)^2 dx##?...
How do you evaluate the integral of ##(ln x)^2 dx##?
##x(lnx)^2 -2xlnx +2x+C##
To integrate ##(lnx)^2##, let ##x= e^y## so that ##dx= e^y dy##
##int (lnx)^2 dx= int y^2 e^ydy##. Now integrate by parts,
##y^2 e^y -int 2ye^y dy##. Now again integrate by...