document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002760>Question 1002760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the bounded region between the graphs of: f(x) = x^2 and g(x) = sqrt(x)\r<BR>\n" );
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document.write( "First thing about this which threw me off was knowing where the points were on the graph, I had to desmos it to know where. Is there anyway of checking where the points intersect and therefore find the interval [0,1]\r<BR>\n" );
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document.write( "Work:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28x%5E3-sqrt%28x%29%29%2C+dx+%29 ALIGN=MIDDLE  ALT=\"int%28x%5E3-sqrt%28x%29%29%2C+dx+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from [0,1]\r<BR>\n" );
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document.write( "then taking the antiderivativeI get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F4%29x%5E4+-%282%2F3%29%28x%29%5E%283%2F2%29+ ALIGN=MIDDLE  ALT=\"+%281%2F4%29x%5E4+-%282%2F3%29%28x%29%5E%283%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+int%28+equals+%281%2F4%29%281%29%2B%282%2F3%29%281%29%5E%283%2F2%29-%281%2F4%29%280%29%2B%282%2F3%29%280%29%5E%283%2F2%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619611 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You wrote \" f(x) = x^2\" but then you had x^3 in the integral. So I'm confused what f(x) really is. Please repost. Thank you. </SPAN>\n" );
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