document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183905>Question 1183905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the integration of x.ln(x).sin(x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814418 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28xlnxsinx%2Cdx%29 ALIGN=MIDDLE  ALT=\"int%28xlnxsinx%2Cdx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Use IBP.  Let u = lnx,  dv = xsinxdx\r<BR>\n" );
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document.write( "===> du = dx/x and v = -xcosx + sinx (which you can also get through IBP).\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28xlnxsinx%2Cdx%29+=+ln%28sinx+-+xcosx%29+%2B+int%28%28xcosx%2Bsinx%29%2C+dx%2Fx%29+=+%0D%0Aln%28sinx+-+xcosx%29+%2B++int%28%28xcosx%2Bsinx%29%2C+dx%2Fx%29++=+ln%28sinx+-+xcosx%29+%2B++int%28cosx%2C+dx%29+%2B+int%28sinx%2Fx%2Cdx%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28sinx+-+xcosx%29+%2B++sinx+%2B+int%28sinx%2Fx%2Cdx%29++=++ln%28sinx+-+xcosx%29+%2B++sinx+%2B+Si%28x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Next time, if you want to do integration of functions, try Wolfram Alpha or Symbolab first.  \r<BR>\n" );
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document.write( "You'll get a faster answer and solution there than you can type your question here. </SPAN>\n" );
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