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{SECT 0 {EXCHG {PARA 18 "" 0 "top_s07_1" {TEXT -1 29 "7.1  Visualizing
 Riemann Sums" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 19
96" }}{PARA 0 "" 0 "" {TEXT -1 119 "These are the shaded gray examples
 which appear in Section 7.1. In-line plots have been removed to conse
rve disk space." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "restart;
 f:=x->x^2; with(student); leftbox(f(x), x=1..3, 10);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%\"fG:6#%\"xG6\"6$%)operatorG%&arrowGF(*$9$\"\"#F
(F(" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7E%\"DG%%DiffG%*DoubleintG%$Int
G%&LimitG%(LineintG%(ProductG%$SumG%*TripleintG%*changevarG%(combineG%
/completesquareG%)distanceG%'equateG%(extremaG%*integrandG%*interceptG
%)intpartsG%(isolateG%(leftboxG%(leftsumG%)makeprocG%)maximizeG%*middl
eboxG%*middlesumG%)midpointG%)minimizeG%(powsubsG%)rightboxG%)rightsum
G%,showtangentG%(simpsonG%&slopeG%*trapezoidG%&valueG" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "rightbox(f(x), x=1..3, 10);" }}}
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