document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523313>Question 523313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> &#8747;5x^4/x^5+1<BR>\n" );
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document.write( "The answer is In(x^5+1)+c. I know how to integrate but I don't know how to get to this answer. Can you show me the working to get to this answer?\r<BR>\n" );
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document.write( "Many Thanks<BR>\n" );
document.write( "Andrew </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347391 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=347391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Just use a simple substitution and that is all. By letting u = x^5 + 1 and, du/dx = 5x^4, du = 5x^4 dx,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \int \frac{5x^4}{x^5+1}\,dx = \int \frac{du}{u}\">\r<BR>\n" );
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document.write( "This is equal to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ln |u| + C = \ln (x^5 + 1) + C\"> where C is a constant. </SPAN>\n" );
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