document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026953>Question 1026953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "I am trying to figure out these integrals but I keep getting stuck. (also, not sure how to write the integral symbol in the editor on here, so hopefully my question makes sense).\r<BR>\n" );
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document.write( "1. integral: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+%286+%29+%2F+sqrt%289x%5E%282%29+-1%29+%29+dx+ ALIGN=MIDDLE  ALT=\"+%28+%286+%29+%2F+sqrt%289x%5E%282%29+-1%29+%29+dx+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I tried U-substitution but got stuck...not sure if I did it right or not. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u=9x%5E%282%29-1+ ALIGN=MIDDLE  ALT=\"+u=9x%5E%282%29-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+du=18x+dx+%2B+c ALIGN=MIDDLE  ALT=\"+du=18x+dx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+dx+=+%28du%2F18x%29+ ALIGN=MIDDLE  ALT=\"+dx+=+%28du%2F18x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. integral: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+3%5E2x%2F%281%2B3%5E2x%29+%29+dx+ ALIGN=MIDDLE  ALT=\"+%28+3%5E2x%2F%281%2B3%5E2x%29+%29+dx+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you, in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642214 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=642214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This site supports some basic LaTeX commands, and you can type it out as such:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \int \frac{6}{\sqrt{9x^2 - 1}} dx\">\r<BR>\n" );
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document.write( "Here, a simple u-substitution probably won't work since there is no x term (u = 9x^2 - 1, du = 18x dx - if the integral had been 6x instead of 6, then a u-substitution works).\r<BR>\n" );
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document.write( "I don't know if you learned about using a trigonometric substitution, but you can use the substitution <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large x = \frac{1}{3} \sec u\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large dx = \frac{1}{3} \sec u \tan u du\"> and using the fact that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \tan^2 u + 1 = \sec^2 u\">.\r<BR>\n" );
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document.write( "2. Do you mean<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \int \frac{3^{2x}}{1 + 3^{2x}}\">?\r<BR>\n" );
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document.write( "If so, you can do a u-substitution. </SPAN>\n" );
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