document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972717>Question 972717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area between y = x^3&#8722;81 x and the x-axis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595001 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the area between y = x^3 - 81 x and the x-axis<BR>\n" );
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document.write( "x-ints at -9, 0 & +9<BR>\n" );
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document.write( "f(x) = x^3 - 81x<BR>\n" );
document.write( "INT(x) = x^4/4 - 81x^2/2  (Ignore the C)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "INT(9) = 6561/4 - 6561/2 = -6561/4<BR>\n" );
document.write( "INT(0) = 0<BR>\n" );
document.write( "Area above the x-axis = 6561/4 sq units<BR>\n" );
document.write( "Area below = 6561/4<BR>\n" );
document.write( "Total bounded area = 6561/2 sq units </SPAN>\n" );
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