document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085429>Question 1085429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me Evaluate this indefinite integral!<BR>\n" );
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document.write( "Also, I would like to know if I can use the sum/difference rule. like this <BR>\n" );
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document.write( "or only decomposition works<BR>\n" );
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document.write( "Note: I got difference answers for both but, I don't even know if am allow to use the sum/difference rule on this Integral. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699515 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> integral (-x^2 + 3 x + 4)/(x (x + 2)^2) dx =<BR>\n" );
document.write( "integral (-2/(x + 2) + 3/(x + 2)^2 + 1/x) dx =<BR>\n" );
document.write( "-2 integral 1/(x + 2) dx + 3 integral 1/(x + 2)^2 dx +  integral 1/x dx<BR>\n" );
document.write( "-2 integral 1/u du + 3 integral 1/(x + 2)^2 dx +  integral 1/x dx<BR>\n" );
document.write( "-2 log(u) + 3 integral 1/(x + 2)^2 dx +  integral 1/x dx<BR>\n" );
document.write( "-2 log(u) + 3 integral 1/s^2 ds +  integral 1/x dx<BR>\n" );
document.write( "-3/s - 2 log(u) +  integral 1/x dx<BR>\n" );
document.write( "-3/s - 2 log(u) + log(x) + constant<BR>\n" );
document.write( "((x + 2) (log(x) - 2 log(u)) - 3)/(x + 2) + constant<BR>\n" );
document.write( "((x + 2) (log(x) - 2 log(x + 2)) - 3)/(x + 2) + constant<BR>\n" );
document.write( "=  (-3/(x + 2)) + log(x) - 2 log(x + 2) + constant </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );