document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411547>Question 411547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me on the following assignment questions\r<BR>\n" );
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document.write( ".how do i differentiate xcos3x with respect to x<BR>\n" );
document.write( ".how do i intergrate xcos3x with respect to x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289273 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To differentiate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Acos%28x%29 ALIGN=MIDDLE  ALT=\"x%2Acos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use the product rule:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29x%2Acos%28x%29+=+cos%28x%29+-+x%2Asin%28x%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29x%2Acos%28x%29+=+cos%28x%29+-+x%2Asin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To integrate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28x%2Acos%28x%29%2C+dx%29 ALIGN=MIDDLE  ALT=\"int%28x%2Acos%28x%29%2C+dx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use integration by parts. Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u+=+x ALIGN=MIDDLE  ALT=\"u+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dv+=+cos%28x%29dx ALIGN=MIDDLE  ALT=\"dv+=+cos%28x%29dx\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=du+=+dx ALIGN=MIDDLE  ALT=\"du+=+dx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+sin%28x%29 ALIGN=MIDDLE  ALT=\"v+=+sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Hence,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28x%2Acos%28x%29%2C+dx%29+=+x%2Asin%28x%29+-+int%28sin%28x%29dx%29 ALIGN=MIDDLE  ALT=\"int%28x%2Acos%28x%29%2C+dx%29+=+x%2Asin%28x%29+-+int%28sin%28x%29dx%29\"   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=int%28x%2Acos%28x%29%2C+dx%29+=+x%2Asin%28x%29+%2B+cos%28x%29+%2B+C ALIGN=MIDDLE  ALT=\"int%28x%2Acos%28x%29%2C+dx%29+=+x%2Asin%28x%29+%2B+cos%28x%29+%2B+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > where C is any constant. </SPAN>\n" );
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