document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870220>Question 870220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find area of curve y^2=2x and line y=4x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524729 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=524729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find area of curve y^2=2x and line y=4x<BR>\n" );
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document.write( "Find area of curve x = y^2/2 and line x=y/4<BR>\n" );
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document.write( "The 2 points of intersection are (0,0) and (1/8,1/2)<BR>\n" );
document.write( "Integrate wrt to y<BR>\n" );
document.write( "x = y^2/2<BR>\n" );
document.write( "INT = y^3/6<BR>\n" );
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document.write( "x=y/4<BR>\n" );
document.write( "INT = y^2/8<BR>\n" );
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document.write( "(Ignore the constants of integration)<BR>\n" );
document.write( "Area = y^3/6 - y^2/8 from y = 0 to y = 1/2<BR>\n" );
document.write( "Area = (1/2)^3/6 - (1/2)^2/8<BR>\n" );
document.write( "= 1/48 - 1/32<BR>\n" );
document.write( "= 1/96 sq units </SPAN>\n" );
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