document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972421>Question 972421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area between y = x^3+x^2&#8722;20 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 #594760 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the points of intersection to define the limits of integration.<BR>\n" );
document.write( "Not sure if you need to calculate the entire area so I'll break it up integrating from x=-5 to x=0 and then from x=0 to x=4.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28%28x%5E3%2Bx%5E2-20x%29%2Cdx%29=x%5E4%2F4%2Bx%5E3%2F3-10x%5E2%2BC ALIGN=MIDDLE  ALT=\"int%28%28x%5E3%2Bx%5E2-20x%29%2Cdx%29=x%5E4%2F4%2Bx%5E3%2F3-10x%5E2%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D ALIGN=MIDDLE  ALT=\"A%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=%280%5E4-%28-5%29%5E4%29%2F4%2B%280%5E3-%28-5%29%5E3%29%2F3-10%280%5E2-5%5E2%29 ALIGN=MIDDLE  ALT=\"A%5B1%5D=%280%5E4-%28-5%29%5E4%29%2F4%2B%280%5E3-%28-5%29%5E3%29%2F3-10%280%5E2-5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=%28-625%29%2F4%2B%28125%29%2F3%2B10%2825%29 ALIGN=MIDDLE  ALT=\"A%5B1%5D=%28-625%29%2F4%2B%28125%29%2F3%2B10%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=%28-1875%29%2F12%2B%28500%29%2F12%2B3000%2F12 ALIGN=MIDDLE  ALT=\"A%5B1%5D=%28-1875%29%2F12%2B%28500%29%2F12%2B3000%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=1625%2F12 ALIGN=MIDDLE  ALT=\"A%5B1%5D=1625%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And the area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D ALIGN=MIDDLE  ALT=\"A%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=%284%5E4-%280%29%5E4%29%2F4%2B%284%5E3-%280%29%5E3%29%2F3-10%284%5E2-0%5E2%29 ALIGN=MIDDLE  ALT=\"A%5B2%5D=%284%5E4-%280%29%5E4%29%2F4%2B%284%5E3-%280%29%5E3%29%2F3-10%284%5E2-0%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=64%2B64%2F3-160 ALIGN=MIDDLE  ALT=\"A%5B2%5D=64%2B64%2F3-160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=192%2F3%2B64%2F3-480%2F3 ALIGN=MIDDLE  ALT=\"A%5B2%5D=192%2F3%2B64%2F3-480%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=-224%2F3 ALIGN=MIDDLE  ALT=\"A%5B2%5D=-224%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the entire area would be,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1625%2F12-224%2F3 ALIGN=MIDDLE  ALT=\"A=1625%2F12-224%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1625%2F12-896%2F12 ALIGN=MIDDLE  ALT=\"A=1625%2F12-896%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=729%2F12 ALIGN=MIDDLE  ALT=\"A=729%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=243%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28A=243%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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