document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356207>Question 356207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:<BR>\n" );
document.write( "Evaluate the integral <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+int+%28+1%2F+%28x%2B2x%5E2%2Bx%5E3%29%2C+dx+%29+ ALIGN=MIDDLE  ALT=\"+int+%28+1%2F+%28x%2B2x%5E2%2Bx%5E3%29%2C+dx+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the method of partial fractions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254362 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=254362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor the denomiator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2x%5E2%2Bx%5E3%29=x%2A%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"x%2B2x%5E2%2Bx%5E3%29=x%2A%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "now set <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+int+%28+1%2F+%28x%2B2x%5E2%2Bx%5E3%29%2C+dx+%29+ ALIGN=MIDDLE  ALT=\"+int+%28+1%2F+%28x%2B2x%5E2%2Bx%5E3%29%2C+dx+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int+%28%28A%2Fx%2BB%2F%28x%2B1%29%2Bc%2F%28x%2B1%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"int+%28%28A%2Fx%2BB%2F%28x%2B1%29%2Bc%2F%28x%2B1%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this integrates into<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2Aln%28abs%28x%29%29%2BB%2Aln%28abs%28x%2B1%29%29-2C%2A%28X%2B1%29%5E%28-1%29 ALIGN=MIDDLE  ALT=\"A%2Aln%28abs%28x%29%29%2BB%2Aln%28abs%28x%2B1%29%29-2C%2A%28X%2B1%29%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+ constant<BR>\n" );
document.write( "==<BR>\n" );
document.write( "find A, B, and C by multiplying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2Fx%2BB%2F%28x%2B1%29%2Bc%2F%28x%2B1%29%5E2%29 ALIGN=MIDDLE  ALT=\"A%2Fx%2BB%2F%28x%2B1%29%2Bc%2F%28x%2B1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the common denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"x%2A%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and setting the numerator equal to its original numerator of 1.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A%28x%2B1%29%5E2%2BB%2Ax%2A%28x%2B1%29%2Bc%2Ax=1 ALIGN=MIDDLE  ALT=\"A%2A%28x%2B1%29%5E2%2BB%2Ax%2A%28x%2B1%29%2Bc%2Ax=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "select 3 different values of x and solve for A, B and C<BR>\n" );
document.write( "--<BR>\n" );
document.write( "choose 3 convenient X values ie -1,0,1<BR>\n" );
document.write( "x=0: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%2A%280%2B1%29%5E2+%2B+b%2A0%2A%280%2B1%29%2Bc%2A0=1 ALIGN=MIDDLE  ALT=\"+A%2A%280%2B1%29%5E2+%2B+b%2A0%2A%280%2B1%29%2Bc%2A0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >   => A=1<BR>\n" );
document.write( "x=-1:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%2A%28-1%2B1%29%5E2+%2B+b%2A-1%2A%28-1%2B1%29%2Bc%2A%28-1%29=1 ALIGN=MIDDLE  ALT=\"+A%2A%28-1%2B1%29%5E2+%2B+b%2A-1%2A%28-1%2B1%29%2Bc%2A%28-1%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >   => -C=1 or C=-1\r<BR>\n" );
document.write( "\n" );
document.write( "you get the idea?\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );