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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...

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