document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255563>Question 255563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the area under the graph of the function f(t)= t^8+t  between t=0 and t=1? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187835 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=187835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the area under the graph of the function f(t)= t^8+t between t=0 and t=1? <BR>\n" );
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document.write( "I assumne you mean area under the graph and above the t-axis.<BR>\n" );
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document.write( "Ans:<BR>\n" );
document.write( "int from 0 to 1 of t^8+t <BR>\n" );
document.write( "(1/9)t^9 + (1/2)t^2 evaluated at t = 1 minus the evaluation when t = 0.<BR>\n" );
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document.write( "= (1/9)(1^9)+(1/2)(1^2) - [(1/9)*0^9 + (1/2)*0^2]<BR>\n" );
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document.write( "= (1/9) + (1/2)<BR>\n" );
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document.write( "= 11/18 sq. units<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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