document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040373>Question 1040373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the region bounded by y = x3, the x-axis, the y-axis and the line x = 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655498 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe it will be the integral of x^3 in the interval between x = 0 and x = 2.\r<BR>\n" );
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document.write( "the integral of x^3 is equal to 1/4 * x^4.\r<BR>\n" );
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document.write( "the area under the curve between x = 0 and x = 2 would therefore be the value of 1/4 * x^4 from x = 0 to x = 2.\r<BR>\n" );
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document.write( "when x = 2, the value of the integral is 1/4 * 2^4 = 1/4 * 16 = 4.\r<BR>\n" );
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document.write( "when x = 0, the value of the integral is 1/4 * 0^4 = 1/4 * 0 = 0\r<BR>\n" );
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document.write( "the area is therefore 4 square units.\r<BR>\n" );
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document.write( "a very good online tutorial on calculus can be found here.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://tutorial.math.lamar.edu/\" target = \"_blank\">http://tutorial.math.lamar.edu/</a>\r<BR>\n" );
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document.write( "here's an online calculator that can help you find the derivative of a function.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.derivative-calculator.net/#\" target = \"_blank\">http://www.derivative-calculator.net/#</a>\r<BR>\n" );
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document.write( "here's an online calculator that can help you find the integral of a function.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.integral-calculator.com/\" target = \"_blank\">http://www.integral-calculator.com/</a>\r<BR>\n" );
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document.write( "here's an online calculator that can help you find the area under a curve.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wolframalpha.com/widgets/gallery/view.jsp?id=d56e8a800745244232d295d3eae74aae\" target = \"_blank\">http://www.wolframalpha.com/widgets/gallery/view.jsp?id=d56e8a800745244232d295d3eae74aae</a>\r<BR>\n" );
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document.write( "i recommend you try to do the problems manually first and then use the calculator to check your work and/or to show you what the solution should be if you are stuck.\r<BR>\n" );
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document.write( "the goal is for you to learn how to do the problems yourself without the use of an online calculator.\r<BR>\n" );
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document.write( "going to the calculator right away defeats the purpose of you learning how to do it on your own.\r<BR>\n" );
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document.write( "hopefully this is what you were looking for.\r<BR>\n" );
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document.write( "i did use the calculators, but only to verify that i was doing it correctly, since i haven't done these in quite a while.\r<BR>\n" );
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document.write( "good luck with it.\r<BR>\n" );
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