document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973836>Question 973836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area enclosed by the curves f(x)=x^3 and g(x)=6x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595881 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=595881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the area enclosed by the curves f(x)=x^3 and g(x)=6x^2<BR>\n" );
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document.write( "Find the intersections, if any.<BR>\n" );
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document.write( "x^3 - 6x^2 = 0<BR>\n" );
document.write( "x = 0, x = 6<BR>\n" );
document.write( "--> (0,0) and (6,216)<BR>\n" );
document.write( "From 0 < x < 6 6x^2 is greater than x^3<BR>\n" );
document.write( "--<BR>\n" );
document.write( "INT(6x^2 - x^3) = 2x^3 - x^4/4  (Ignore the C)<BR>\n" );
document.write( "Area = (2*6^3 - 6^4/4) - (0)<BR>\n" );
document.write( "= 432 - 324<BR>\n" );
document.write( "= 108 sq units </SPAN>\n" );
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