document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031346>Question 1031346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which definite integral approximation formula is the integral from a to b of f of x, dx is approximately equal to the product of the quantity b minus a over n and the quantity y sub 1 plus y sub 2 plus y sub 3 plus dot dot dot plus y sub n minus 1 plus y sub n?\r<BR>\n" );
document.write( "\n" );
document.write( " Left rectangles\r<BR>\n" );
document.write( "\n" );
document.write( " Right rectangles\r<BR>\n" );
document.write( "\n" );
document.write( " Average rate of change\r<BR>\n" );
document.write( "\n" );
document.write( " Trapezoidal rule </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646630 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Right rectangles \r<BR>\n" );
document.write( "\n" );
document.write( "-----------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "ONE GOOD ADVICE:  Learn how to write the symbols relevant to your questions if you want to be taken seriously. \r<BR>\n" );
document.write( "\n" );
document.write( "-----------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "The width of each rectangle would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-a%29%2Fn ALIGN=MIDDLE  ALT=\"%28b-a%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >, while the height of the rectangle would be given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%5Bk%5D%29+=+y%5Bk%5D ALIGN=MIDDLE  ALT=\"f%28x%5Bk%5D%29+=+y%5Bk%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%3C=+k+%3C=+n ALIGN=MIDDLE  ALT=\"1+%3C=+k+%3C=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which corresponds to the right endpoint of a sub-interval. The approximation would be\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-a%29%2Fn ALIGN=MIDDLE  ALT=\"%28b-a%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D%2By%5B2%5D%2By%5B3%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D%2By%5B2%5D%2By%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >+...+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bn-1%5D%2B+y%5Bn%5D ALIGN=MIDDLE  ALT=\"y%5Bn-1%5D%2B+y%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );